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Finding the Third Proportional to 38,338 and 52,792

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Solution

The third proportional to 38,338 and 52,792 is: 72,695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,338 : 52,792 = 52,792 : x
  2. Step 2: Convert to fraction form
    38,338/52,792 = 52,792/x
  3. Step 3: Cross multiply
    38,338x = 52,792 × 52,792
  4. Step 4: Simplify right side
    38,338x = 2,786,995,264
  5. Step 5: Solve for x
    x = 2,786,995,264/38,338
  6. Step 6: Final answer
    x = 72,695.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.