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Finding the Third Proportional to 24,149 and 36,377

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Solution

The third proportional to 24,149 and 36,377 is: 54,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149 : 36,377 = 36,377 : x
  2. Step 2: Convert to fraction form
    24,149/36,377 = 36,377/x
  3. Step 3: Cross multiply
    24,149x = 36,377 × 36,377
  4. Step 4: Simplify right side
    24,149x = 1,323,286,129
  5. Step 5: Solve for x
    x = 1,323,286,129/24,149
  6. Step 6: Final answer
    x = 54,796.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.