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Finding the Third Proportional to 42,621 and 59,616

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Solution

The third proportional to 42,621 and 59,616 is: 83,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,621 : 59,616 = 59,616 : x
  2. Step 2: Convert to fraction form
    42,621/59,616 = 59,616/x
  3. Step 3: Cross multiply
    42,621x = 59,616 × 59,616
  4. Step 4: Simplify right side
    42,621x = 3,554,067,456
  5. Step 5: Solve for x
    x = 3,554,067,456/42,621
  6. Step 6: Final answer
    x = 83,387.71

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