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Finding the Third Proportional to 41,586 and 61,101

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Solution

The third proportional to 41,586 and 61,101 is: 89,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,586 : 61,101 = 61,101 : x
  2. Step 2: Convert to fraction form
    41,586/61,101 = 61,101/x
  3. Step 3: Cross multiply
    41,586x = 61,101 × 61,101
  4. Step 4: Simplify right side
    41,586x = 3,733,332,201
  5. Step 5: Solve for x
    x = 3,733,332,201/41,586
  6. Step 6: Final answer
    x = 89,773.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.