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Finding the Third Proportional to 38,859.75 and 49,294.13

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Solution

The third proportional to 38,859.75 and 49,294.13 is: 62,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,859.75 : 49,294.13 = 49,294.13 : x
  2. Step 2: Convert to fraction form
    38,859.75/49,294.13 = 49,294.13/x
  3. Step 3: Cross multiply
    38,859.75x = 49,294.13 × 49,294.13
  4. Step 4: Simplify right side
    38,859.75x = 2,429,910,759.52
  5. Step 5: Solve for x
    x = 2,429,910,759.52/38,859.75
  6. Step 6: Final answer
    x = 62,530.27

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.