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Finding the Third Proportional to 24,822 and 54,252

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Solution

The third proportional to 24,822 and 54,252 is: 118,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822 : 54,252 = 54,252 : x
  2. Step 2: Convert to fraction form
    24,822/54,252 = 54,252/x
  3. Step 3: Cross multiply
    24,822x = 54,252 × 54,252
  4. Step 4: Simplify right side
    24,822x = 2,943,279,504
  5. Step 5: Solve for x
    x = 2,943,279,504/24,822
  6. Step 6: Final answer
    x = 118,575.44

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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.