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Finding the Third Proportional to 44,825 and 60,909

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Solution

The third proportional to 44,825 and 60,909 is: 82,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,825 : 60,909 = 60,909 : x
  2. Step 2: Convert to fraction form
    44,825/60,909 = 60,909/x
  3. Step 3: Cross multiply
    44,825x = 60,909 × 60,909
  4. Step 4: Simplify right side
    44,825x = 3,709,906,281
  5. Step 5: Solve for x
    x = 3,709,906,281/44,825
  6. Step 6: Final answer
    x = 82,764.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.