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Finding the Third Proportional to 15,081 and 34,941

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Solution

The third proportional to 15,081 and 34,941 is: 80,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,081 : 34,941 = 34,941 : x
  2. Step 2: Convert to fraction form
    15,081/34,941 = 34,941/x
  3. Step 3: Cross multiply
    15,081x = 34,941 × 34,941
  4. Step 4: Simplify right side
    15,081x = 1,220,873,481
  5. Step 5: Solve for x
    x = 1,220,873,481/15,081
  6. Step 6: Final answer
    x = 80,954.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.