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Finding the Third Proportional to 24,377 and 36,406

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Solution

The third proportional to 24,377 and 36,406 is: 54,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377 : 36,406 = 36,406 : x
  2. Step 2: Convert to fraction form
    24,377/36,406 = 36,406/x
  3. Step 3: Cross multiply
    24,377x = 36,406 × 36,406
  4. Step 4: Simplify right side
    24,377x = 1,325,396,836
  5. Step 5: Solve for x
    x = 1,325,396,836/24,377
  6. Step 6: Final answer
    x = 54,370.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.