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Finding the Third Proportional to 38,542.50 and 57,552

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Solution

The third proportional to 38,542.50 and 57,552 is: 85,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.50 : 57,552 = 57,552 : x
  2. Step 2: Convert to fraction form
    38,542.50/57,552 = 57,552/x
  3. Step 3: Cross multiply
    38,542.50x = 57,552 × 57,552
  4. Step 4: Simplify right side
    38,542.50x = 3,312,232,704
  5. Step 5: Solve for x
    x = 3,312,232,704/38,542.50
  6. Step 6: Final answer
    x = 85,937.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.