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Finding the Third Proportional to 24,834 and 54,048

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Solution

The third proportional to 24,834 and 54,048 is: 117,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834 : 54,048 = 54,048 : x
  2. Step 2: Convert to fraction form
    24,834/54,048 = 54,048/x
  3. Step 3: Cross multiply
    24,834x = 54,048 × 54,048
  4. Step 4: Simplify right side
    24,834x = 2,921,186,304
  5. Step 5: Solve for x
    x = 2,921,186,304/24,834
  6. Step 6: Final answer
    x = 117,628.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.