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Finding the Third Proportional to 4,114.13 and 8,484.75

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Solution

The third proportional to 4,114.13 and 8,484.75 is: 17,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.13 : 8,484.75 = 8,484.75 : x
  2. Step 2: Convert to fraction form
    4,114.13/8,484.75 = 8,484.75/x
  3. Step 3: Cross multiply
    4,114.13x = 8,484.75 × 8,484.75
  4. Step 4: Simplify right side
    4,114.13x = 71,990,982.56
  5. Step 5: Solve for x
    x = 71,990,982.56/4,114.13
  6. Step 6: Final answer
    x = 17,498.49

Related Problems

Find third proportional to 2,057.06 and 4,242.38
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.