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Finding the Third Proportional to 27,005 and 40,675

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Solution

The third proportional to 27,005 and 40,675 is: 61,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005 : 40,675 = 40,675 : x
  2. Step 2: Convert to fraction form
    27,005/40,675 = 40,675/x
  3. Step 3: Cross multiply
    27,005x = 40,675 × 40,675
  4. Step 4: Simplify right side
    27,005x = 1,654,455,625
  5. Step 5: Solve for x
    x = 1,654,455,625/27,005
  6. Step 6: Final answer
    x = 61,264.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.