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Finding the Third Proportional to 44,539 and 71,635.50

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Solution

The third proportional to 44,539 and 71,635.50 is: 115,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,539 : 71,635.50 = 71,635.50 : x
  2. Step 2: Convert to fraction form
    44,539/71,635.50 = 71,635.50/x
  3. Step 3: Cross multiply
    44,539x = 71,635.50 × 71,635.50
  4. Step 4: Simplify right side
    44,539x = 5,131,644,860.25
  5. Step 5: Solve for x
    x = 5,131,644,860.25/44,539
  6. Step 6: Final answer
    x = 115,216.89

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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.