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Finding the Third Proportional to 44,625 and 71,748

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Solution

The third proportional to 44,625 and 71,748 is: 115,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,625 : 71,748 = 71,748 : x
  2. Step 2: Convert to fraction form
    44,625/71,748 = 71,748/x
  3. Step 3: Cross multiply
    44,625x = 71,748 × 71,748
  4. Step 4: Simplify right side
    44,625x = 5,147,775,504
  5. Step 5: Solve for x
    x = 5,147,775,504/44,625
  6. Step 6: Final answer
    x = 115,356.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.