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Finding the Third Proportional to 24,259 and 36,238

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Solution

The third proportional to 24,259 and 36,238 is: 54,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,259 : 36,238 = 36,238 : x
  2. Step 2: Convert to fraction form
    24,259/36,238 = 36,238/x
  3. Step 3: Cross multiply
    24,259x = 36,238 × 36,238
  4. Step 4: Simplify right side
    24,259x = 1,313,192,644
  5. Step 5: Solve for x
    x = 1,313,192,644/24,259
  6. Step 6: Final answer
    x = 54,132.18

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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.