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Finding the Third Proportional to 15,718 and 33,182

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Solution

The third proportional to 15,718 and 33,182 is: 70,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718 : 33,182 = 33,182 : x
  2. Step 2: Convert to fraction form
    15,718/33,182 = 33,182/x
  3. Step 3: Cross multiply
    15,718x = 33,182 × 33,182
  4. Step 4: Simplify right side
    15,718x = 1,101,045,124
  5. Step 5: Solve for x
    x = 1,101,045,124/15,718
  6. Step 6: Final answer
    x = 70,049.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.