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Finding the Third Proportional to 44,546 and 62,661

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Solution

The third proportional to 44,546 and 62,661 is: 88,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,546 : 62,661 = 62,661 : x
  2. Step 2: Convert to fraction form
    44,546/62,661 = 62,661/x
  3. Step 3: Cross multiply
    44,546x = 62,661 × 62,661
  4. Step 4: Simplify right side
    44,546x = 3,926,400,921
  5. Step 5: Solve for x
    x = 3,926,400,921/44,546
  6. Step 6: Final answer
    x = 88,142.61

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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.