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Finding the Third Proportional to 36,598 and 78,744

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Solution

The third proportional to 36,598 and 78,744 is: 169,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,598 : 78,744 = 78,744 : x
  2. Step 2: Convert to fraction form
    36,598/78,744 = 78,744/x
  3. Step 3: Cross multiply
    36,598x = 78,744 × 78,744
  4. Step 4: Simplify right side
    36,598x = 6,200,617,536
  5. Step 5: Solve for x
    x = 6,200,617,536/36,598
  6. Step 6: Final answer
    x = 169,425.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.