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Finding the Third Proportional to 37,614.50 and 82,609

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Solution

The third proportional to 37,614.50 and 82,609 is: 181,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614.50 : 82,609 = 82,609 : x
  2. Step 2: Convert to fraction form
    37,614.50/82,609 = 82,609/x
  3. Step 3: Cross multiply
    37,614.50x = 82,609 × 82,609
  4. Step 4: Simplify right side
    37,614.50x = 6,824,246,881
  5. Step 5: Solve for x
    x = 6,824,246,881/37,614.50
  6. Step 6: Final answer
    x = 181,425.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.