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Finding the Third Proportional to 36,691.50 and 78,567

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Solution

The third proportional to 36,691.50 and 78,567 is: 168,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,691.50 : 78,567 = 78,567 : x
  2. Step 2: Convert to fraction form
    36,691.50/78,567 = 78,567/x
  3. Step 3: Cross multiply
    36,691.50x = 78,567 × 78,567
  4. Step 4: Simplify right side
    36,691.50x = 6,172,773,489
  5. Step 5: Solve for x
    x = 6,172,773,489/36,691.50
  6. Step 6: Final answer
    x = 168,234.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.