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Finding the Third Proportional to 36,561 and 79,317

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Solution

The third proportional to 36,561 and 79,317 is: 172,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,561 : 79,317 = 79,317 : x
  2. Step 2: Convert to fraction form
    36,561/79,317 = 79,317/x
  3. Step 3: Cross multiply
    36,561x = 79,317 × 79,317
  4. Step 4: Simplify right side
    36,561x = 6,291,186,489
  5. Step 5: Solve for x
    x = 6,291,186,489/36,561
  6. Step 6: Final answer
    x = 172,073.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.