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Finding the Third Proportional to 15,957 and 22,839.75

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Solution

The third proportional to 15,957 and 22,839.75 is: 32,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 22,839.75 = 22,839.75 : x
  2. Step 2: Convert to fraction form
    15,957/22,839.75 = 22,839.75/x
  3. Step 3: Cross multiply
    15,957x = 22,839.75 × 22,839.75
  4. Step 4: Simplify right side
    15,957x = 521,654,180.06
  5. Step 5: Solve for x
    x = 521,654,180.06/15,957
  6. Step 6: Final answer
    x = 32,691.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.