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Finding the Third Proportional to 18,235.13 and 38,996.44

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Solution

The third proportional to 18,235.13 and 38,996.44 is: 83,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,235.13 : 38,996.44 = 38,996.44 : x
  2. Step 2: Convert to fraction form
    18,235.13/38,996.44 = 38,996.44/x
  3. Step 3: Cross multiply
    18,235.13x = 38,996.44 × 38,996.44
  4. Step 4: Simplify right side
    18,235.13x = 1,520,722,137.69
  5. Step 5: Solve for x
    x = 1,520,722,137.69/18,235.13
  6. Step 6: Final answer
    x = 83,395.21

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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.