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Finding the Third Proportional to 27,659 and 41,308

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Solution

The third proportional to 27,659 and 41,308 is: 61,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659 : 41,308 = 41,308 : x
  2. Step 2: Convert to fraction form
    27,659/41,308 = 41,308/x
  3. Step 3: Cross multiply
    27,659x = 41,308 × 41,308
  4. Step 4: Simplify right side
    27,659x = 1,706,350,864
  5. Step 5: Solve for x
    x = 1,706,350,864/27,659
  6. Step 6: Final answer
    x = 61,692.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.