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Finding the Third Proportional to 5,332.38 and 12,457.13

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Solution

The third proportional to 5,332.38 and 12,457.13 is: 29,101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.38 : 12,457.13 = 12,457.13 : x
  2. Step 2: Convert to fraction form
    5,332.38/12,457.13 = 12,457.13/x
  3. Step 3: Cross multiply
    5,332.38x = 12,457.13 × 12,457.13
  4. Step 4: Simplify right side
    5,332.38x = 155,179,963.27
  5. Step 5: Solve for x
    x = 155,179,963.27/5,332.38
  6. Step 6: Final answer
    x = 29,101.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.