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Finding the Third Proportional to 44,454 and 62,523

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Solution

The third proportional to 44,454 and 62,523 is: 87,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,454 : 62,523 = 62,523 : x
  2. Step 2: Convert to fraction form
    44,454/62,523 = 62,523/x
  3. Step 3: Cross multiply
    44,454x = 62,523 × 62,523
  4. Step 4: Simplify right side
    44,454x = 3,909,125,529
  5. Step 5: Solve for x
    x = 3,909,125,529/44,454
  6. Step 6: Final answer
    x = 87,936.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.