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Finding the Third Proportional to 18,235.97 and 38,998.13

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Solution

The third proportional to 18,235.97 and 38,998.13 is: 83,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,235.97 : 38,998.13 = 38,998.13 : x
  2. Step 2: Convert to fraction form
    18,235.97/38,998.13 = 38,998.13/x
  3. Step 3: Cross multiply
    18,235.97x = 38,998.13 × 38,998.13
  4. Step 4: Simplify right side
    18,235.97x = 1,520,853,753.52
  5. Step 5: Solve for x
    x = 1,520,853,753.52/18,235.97
  6. Step 6: Final answer
    x = 83,398.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.