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Finding the Third Proportional to 4,996.13 and 10,964.25

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Solution

The third proportional to 4,996.13 and 10,964.25 is: 24,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.13 : 10,964.25 = 10,964.25 : x
  2. Step 2: Convert to fraction form
    4,996.13/10,964.25 = 10,964.25/x
  3. Step 3: Cross multiply
    4,996.13x = 10,964.25 × 10,964.25
  4. Step 4: Simplify right side
    4,996.13x = 120,214,778.06
  5. Step 5: Solve for x
    x = 120,214,778.06/4,996.13
  6. Step 6: Final answer
    x = 24,061.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.