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Finding the Third Proportional to 17,892 and 26,291

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Solution

The third proportional to 17,892 and 26,291 is: 38,632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,892 : 26,291 = 26,291 : x
  2. Step 2: Convert to fraction form
    17,892/26,291 = 26,291/x
  3. Step 3: Cross multiply
    17,892x = 26,291 × 26,291
  4. Step 4: Simplify right side
    17,892x = 691,216,681
  5. Step 5: Solve for x
    x = 691,216,681/17,892
  6. Step 6: Final answer
    x = 38,632.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.