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Finding the Third Proportional to 27,418 and 38,822

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Solution

The third proportional to 27,418 and 38,822 is: 54,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,418 : 38,822 = 38,822 : x
  2. Step 2: Convert to fraction form
    27,418/38,822 = 38,822/x
  3. Step 3: Cross multiply
    27,418x = 38,822 × 38,822
  4. Step 4: Simplify right side
    27,418x = 1,507,147,684
  5. Step 5: Solve for x
    x = 1,507,147,684/27,418
  6. Step 6: Final answer
    x = 54,969.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.