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Finding the Third Proportional to 24,757.88 and 38,352.38

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Solution

The third proportional to 24,757.88 and 38,352.38 is: 59,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757.88 : 38,352.38 = 38,352.38 : x
  2. Step 2: Convert to fraction form
    24,757.88/38,352.38 = 38,352.38/x
  3. Step 3: Cross multiply
    24,757.88x = 38,352.38 × 38,352.38
  4. Step 4: Simplify right side
    24,757.88x = 1,470,904,668.14
  5. Step 5: Solve for x
    x = 1,470,904,668.14/24,757.88
  6. Step 6: Final answer
    x = 59,411.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.