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Finding the Third Proportional to 44,701 and 62,643

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Solution

The third proportional to 44,701 and 62,643 is: 87,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,701 : 62,643 = 62,643 : x
  2. Step 2: Convert to fraction form
    44,701/62,643 = 62,643/x
  3. Step 3: Cross multiply
    44,701x = 62,643 × 62,643
  4. Step 4: Simplify right side
    44,701x = 3,924,145,449
  5. Step 5: Solve for x
    x = 3,924,145,449/44,701
  6. Step 6: Final answer
    x = 87,786.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.