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Finding the Third Proportional to 36,737 and 79,578

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Solution

The third proportional to 36,737 and 79,578 is: 172,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,737 : 79,578 = 79,578 : x
  2. Step 2: Convert to fraction form
    36,737/79,578 = 79,578/x
  3. Step 3: Cross multiply
    36,737x = 79,578 × 79,578
  4. Step 4: Simplify right side
    36,737x = 6,332,658,084
  5. Step 5: Solve for x
    x = 6,332,658,084/36,737
  6. Step 6: Final answer
    x = 172,378.20

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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.