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Finding the Third Proportional to 36,147.50 and 78,327

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Solution

The third proportional to 36,147.50 and 78,327 is: 169,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,147.50 : 78,327 = 78,327 : x
  2. Step 2: Convert to fraction form
    36,147.50/78,327 = 78,327/x
  3. Step 3: Cross multiply
    36,147.50x = 78,327 × 78,327
  4. Step 4: Simplify right side
    36,147.50x = 6,135,118,929
  5. Step 5: Solve for x
    x = 6,135,118,929/36,147.50
  6. Step 6: Final answer
    x = 169,724.57

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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.