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Finding the Third Proportional to 36,542 and 49,521

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Solution

The third proportional to 36,542 and 49,521 is: 67,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,542 : 49,521 = 49,521 : x
  2. Step 2: Convert to fraction form
    36,542/49,521 = 49,521/x
  3. Step 3: Cross multiply
    36,542x = 49,521 × 49,521
  4. Step 4: Simplify right side
    36,542x = 2,452,329,441
  5. Step 5: Solve for x
    x = 2,452,329,441/36,542
  6. Step 6: Final answer
    x = 67,109.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.