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Finding the Third Proportional to 4,014.56 and 8,272.13

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Solution

The third proportional to 4,014.56 and 8,272.13 is: 17,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.56 : 8,272.13 = 8,272.13 : x
  2. Step 2: Convert to fraction form
    4,014.56/8,272.13 = 8,272.13/x
  3. Step 3: Cross multiply
    4,014.56x = 8,272.13 × 8,272.13
  4. Step 4: Simplify right side
    4,014.56x = 68,428,052.02
  5. Step 5: Solve for x
    x = 68,428,052.02/4,014.56
  6. Step 6: Final answer
    x = 17,044.96

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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.