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Finding the Third Proportional to 24,472.75 and 38,941.13

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Solution

The third proportional to 24,472.75 and 38,941.13 is: 61,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.75 : 38,941.13 = 38,941.13 : x
  2. Step 2: Convert to fraction form
    24,472.75/38,941.13 = 38,941.13/x
  3. Step 3: Cross multiply
    24,472.75x = 38,941.13 × 38,941.13
  4. Step 4: Simplify right side
    24,472.75x = 1,516,411,216.27
  5. Step 5: Solve for x
    x = 1,516,411,216.27/24,472.75
  6. Step 6: Final answer
    x = 61,963.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.