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Finding the Third Proportional to 17,864 and 27,262

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Solution

The third proportional to 17,864 and 27,262 is: 41,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864 : 27,262 = 27,262 : x
  2. Step 2: Convert to fraction form
    17,864/27,262 = 27,262/x
  3. Step 3: Cross multiply
    17,864x = 27,262 × 27,262
  4. Step 4: Simplify right side
    17,864x = 743,216,644
  5. Step 5: Solve for x
    x = 743,216,644/17,864
  6. Step 6: Final answer
    x = 41,604.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.