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Finding the Third Proportional to 47,573.06 and 62,569.97

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Solution

The third proportional to 47,573.06 and 62,569.97 is: 82,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,573.06 : 62,569.97 = 62,569.97 : x
  2. Step 2: Convert to fraction form
    47,573.06/62,569.97 = 62,569.97/x
  3. Step 3: Cross multiply
    47,573.06x = 62,569.97 × 62,569.97
  4. Step 4: Simplify right side
    47,573.06x = 3,915,000,989.38
  5. Step 5: Solve for x
    x = 3,915,000,989.38/47,573.06
  6. Step 6: Final answer
    x = 82,294.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.