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Finding the Third Proportional to 24,360 and 54,264

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Solution

The third proportional to 24,360 and 54,264 is: 120,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,360 : 54,264 = 54,264 : x
  2. Step 2: Convert to fraction form
    24,360/54,264 = 54,264/x
  3. Step 3: Cross multiply
    24,360x = 54,264 × 54,264
  4. Step 4: Simplify right side
    24,360x = 2,944,581,696
  5. Step 5: Solve for x
    x = 2,944,581,696/24,360
  6. Step 6: Final answer
    x = 120,877.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.