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Finding the Third Proportional to 12,442 and 26,822

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Solution

The third proportional to 12,442 and 26,822 is: 57,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442 : 26,822 = 26,822 : x
  2. Step 2: Convert to fraction form
    12,442/26,822 = 26,822/x
  3. Step 3: Cross multiply
    12,442x = 26,822 × 26,822
  4. Step 4: Simplify right side
    12,442x = 719,419,684
  5. Step 5: Solve for x
    x = 719,419,684/12,442
  6. Step 6: Final answer
    x = 57,821.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.