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Finding the Third Proportional to 24,822 and 54,022

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Solution

The third proportional to 24,822 and 54,022 is: 117,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822 : 54,022 = 54,022 : x
  2. Step 2: Convert to fraction form
    24,822/54,022 = 54,022/x
  3. Step 3: Cross multiply
    24,822x = 54,022 × 54,022
  4. Step 4: Simplify right side
    24,822x = 2,918,376,484
  5. Step 5: Solve for x
    x = 2,918,376,484/24,822
  6. Step 6: Final answer
    x = 117,572.17

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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.