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Finding the Third Proportional to 42,448 and 57,444

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Solution

The third proportional to 42,448 and 57,444 is: 77,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,448 : 57,444 = 57,444 : x
  2. Step 2: Convert to fraction form
    42,448/57,444 = 57,444/x
  3. Step 3: Cross multiply
    42,448x = 57,444 × 57,444
  4. Step 4: Simplify right side
    42,448x = 3,299,813,136
  5. Step 5: Solve for x
    x = 3,299,813,136/42,448
  6. Step 6: Final answer
    x = 77,737.78

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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.