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Finding the Third Proportional to 15,874 and 34,182

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Solution

The third proportional to 15,874 and 34,182 is: 73,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874 : 34,182 = 34,182 : x
  2. Step 2: Convert to fraction form
    15,874/34,182 = 34,182/x
  3. Step 3: Cross multiply
    15,874x = 34,182 × 34,182
  4. Step 4: Simplify right side
    15,874x = 1,168,409,124
  5. Step 5: Solve for x
    x = 1,168,409,124/15,874
  6. Step 6: Final answer
    x = 73,605.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.