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Finding the Third Proportional to 36,534.38 and 49,509.56

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Solution

The third proportional to 36,534.38 and 49,509.56 is: 67,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,534.38 : 49,509.56 = 49,509.56 : x
  2. Step 2: Convert to fraction form
    36,534.38/49,509.56 = 49,509.56/x
  3. Step 3: Cross multiply
    36,534.38x = 49,509.56 × 49,509.56
  4. Step 4: Simplify right side
    36,534.38x = 2,451,196,778.94
  5. Step 5: Solve for x
    x = 2,451,196,778.94/36,534.38
  6. Step 6: Final answer
    x = 67,092.89

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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.