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Finding the Third Proportional to 44,662 and 61,523

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Solution

The third proportional to 44,662 and 61,523 is: 84,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,662 : 61,523 = 61,523 : x
  2. Step 2: Convert to fraction form
    44,662/61,523 = 61,523/x
  3. Step 3: Cross multiply
    44,662x = 61,523 × 61,523
  4. Step 4: Simplify right side
    44,662x = 3,785,079,529
  5. Step 5: Solve for x
    x = 3,785,079,529/44,662
  6. Step 6: Final answer
    x = 84,749.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.