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Finding the Third Proportional to 28,586 and 61,941

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Solution

The third proportional to 28,586 and 61,941 is: 134,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,586 : 61,941 = 61,941 : x
  2. Step 2: Convert to fraction form
    28,586/61,941 = 61,941/x
  3. Step 3: Cross multiply
    28,586x = 61,941 × 61,941
  4. Step 4: Simplify right side
    28,586x = 3,836,687,481
  5. Step 5: Solve for x
    x = 3,836,687,481/28,586
  6. Step 6: Final answer
    x = 134,215.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.