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Finding the Third Proportional to 44,355 and 59,949

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Solution

The third proportional to 44,355 and 59,949 is: 81,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,355 : 59,949 = 59,949 : x
  2. Step 2: Convert to fraction form
    44,355/59,949 = 59,949/x
  3. Step 3: Cross multiply
    44,355x = 59,949 × 59,949
  4. Step 4: Simplify right side
    44,355x = 3,593,882,601
  5. Step 5: Solve for x
    x = 3,593,882,601/44,355
  6. Step 6: Final answer
    x = 81,025.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.