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Finding the Third Proportional to 27,822 and 43,086

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Solution

The third proportional to 27,822 and 43,086 is: 66,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822 : 43,086 = 43,086 : x
  2. Step 2: Convert to fraction form
    27,822/43,086 = 43,086/x
  3. Step 3: Cross multiply
    27,822x = 43,086 × 43,086
  4. Step 4: Simplify right side
    27,822x = 1,856,403,396
  5. Step 5: Solve for x
    x = 1,856,403,396/27,822
  6. Step 6: Final answer
    x = 66,724.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.