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Finding the Third Proportional to 24,228 and 27,360

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Solution

The third proportional to 24,228 and 27,360 is: 30,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228 : 27,360 = 27,360 : x
  2. Step 2: Convert to fraction form
    24,228/27,360 = 27,360/x
  3. Step 3: Cross multiply
    24,228x = 27,360 × 27,360
  4. Step 4: Simplify right side
    24,228x = 748,569,600
  5. Step 5: Solve for x
    x = 748,569,600/24,228
  6. Step 6: Final answer
    x = 30,896.88

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.