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Finding the Third Proportional to 43,522 and 58,721

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Solution

The third proportional to 43,522 and 58,721 is: 79,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,522 : 58,721 = 58,721 : x
  2. Step 2: Convert to fraction form
    43,522/58,721 = 58,721/x
  3. Step 3: Cross multiply
    43,522x = 58,721 × 58,721
  4. Step 4: Simplify right side
    43,522x = 3,448,155,841
  5. Step 5: Solve for x
    x = 3,448,155,841/43,522
  6. Step 6: Final answer
    x = 79,227.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.