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Finding the Third Proportional to 24,822 and 54,386

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Solution

The third proportional to 24,822 and 54,386 is: 119,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822 : 54,386 = 54,386 : x
  2. Step 2: Convert to fraction form
    24,822/54,386 = 54,386/x
  3. Step 3: Cross multiply
    24,822x = 54,386 × 54,386
  4. Step 4: Simplify right side
    24,822x = 2,957,836,996
  5. Step 5: Solve for x
    x = 2,957,836,996/24,822
  6. Step 6: Final answer
    x = 119,161.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.