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Finding the Third Proportional to 24,269 and 38,078

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Solution

The third proportional to 24,269 and 38,078 is: 59,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269 : 38,078 = 38,078 : x
  2. Step 2: Convert to fraction form
    24,269/38,078 = 38,078/x
  3. Step 3: Cross multiply
    24,269x = 38,078 × 38,078
  4. Step 4: Simplify right side
    24,269x = 1,449,934,084
  5. Step 5: Solve for x
    x = 1,449,934,084/24,269
  6. Step 6: Final answer
    x = 59,744.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.