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Finding the Third Proportional to 15,892 and 34,292

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Solution

The third proportional to 15,892 and 34,292 is: 73,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892 : 34,292 = 34,292 : x
  2. Step 2: Convert to fraction form
    15,892/34,292 = 34,292/x
  3. Step 3: Cross multiply
    15,892x = 34,292 × 34,292
  4. Step 4: Simplify right side
    15,892x = 1,175,941,264
  5. Step 5: Solve for x
    x = 1,175,941,264/15,892
  6. Step 6: Final answer
    x = 73,995.80

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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.