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Finding the Third Proportional to 49,616 and 71,592

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Solution

The third proportional to 49,616 and 71,592 is: 103,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,616 : 71,592 = 71,592 : x
  2. Step 2: Convert to fraction form
    49,616/71,592 = 71,592/x
  3. Step 3: Cross multiply
    49,616x = 71,592 × 71,592
  4. Step 4: Simplify right side
    49,616x = 5,125,414,464
  5. Step 5: Solve for x
    x = 5,125,414,464/49,616
  6. Step 6: Final answer
    x = 103,301.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.