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Finding the Third Proportional to 24,126 and 38,378

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Solution

The third proportional to 24,126 and 38,378 is: 61,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,126 : 38,378 = 38,378 : x
  2. Step 2: Convert to fraction form
    24,126/38,378 = 38,378/x
  3. Step 3: Cross multiply
    24,126x = 38,378 × 38,378
  4. Step 4: Simplify right side
    24,126x = 1,472,870,884
  5. Step 5: Solve for x
    x = 1,472,870,884/24,126
  6. Step 6: Final answer
    x = 61,049.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.