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Finding the Third Proportional to 15,882 and 34,274

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Solution

The third proportional to 15,882 and 34,274 is: 73,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882 : 34,274 = 34,274 : x
  2. Step 2: Convert to fraction form
    15,882/34,274 = 34,274/x
  3. Step 3: Cross multiply
    15,882x = 34,274 × 34,274
  4. Step 4: Simplify right side
    15,882x = 1,174,707,076
  5. Step 5: Solve for x
    x = 1,174,707,076/15,882
  6. Step 6: Final answer
    x = 73,964.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.