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Finding the Third Proportional to 37,583 and 81,042

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Solution

The third proportional to 37,583 and 81,042 is: 174,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,583 : 81,042 = 81,042 : x
  2. Step 2: Convert to fraction form
    37,583/81,042 = 81,042/x
  3. Step 3: Cross multiply
    37,583x = 81,042 × 81,042
  4. Step 4: Simplify right side
    37,583x = 6,567,805,764
  5. Step 5: Solve for x
    x = 6,567,805,764/37,583
  6. Step 6: Final answer
    x = 174,754.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.