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Finding the Third Proportional to 17,857.13 and 38,402.44

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Solution

The third proportional to 17,857.13 and 38,402.44 is: 82,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.13 : 38,402.44 = 38,402.44 : x
  2. Step 2: Convert to fraction form
    17,857.13/38,402.44 = 38,402.44/x
  3. Step 3: Cross multiply
    17,857.13x = 38,402.44 × 38,402.44
  4. Step 4: Simplify right side
    17,857.13x = 1,474,747,205.94
  5. Step 5: Solve for x
    x = 1,474,747,205.94/17,857.13
  6. Step 6: Final answer
    x = 82,585.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.