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Finding the Third Proportional to 27,522 and 40,107

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Solution

The third proportional to 27,522 and 40,107 is: 58,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522 : 40,107 = 40,107 : x
  2. Step 2: Convert to fraction form
    27,522/40,107 = 40,107/x
  3. Step 3: Cross multiply
    27,522x = 40,107 × 40,107
  4. Step 4: Simplify right side
    27,522x = 1,608,571,449
  5. Step 5: Solve for x
    x = 1,608,571,449/27,522
  6. Step 6: Final answer
    x = 58,446.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.