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Finding the Third Proportional to 17,241 and 26,802

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Solution

The third proportional to 17,241 and 26,802 is: 41,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,241 : 26,802 = 26,802 : x
  2. Step 2: Convert to fraction form
    17,241/26,802 = 26,802/x
  3. Step 3: Cross multiply
    17,241x = 26,802 × 26,802
  4. Step 4: Simplify right side
    17,241x = 718,347,204
  5. Step 5: Solve for x
    x = 718,347,204/17,241
  6. Step 6: Final answer
    x = 41,665.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.