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Finding the Third Proportional to 2,092.31 and 3,239.81

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Solution

The third proportional to 2,092.31 and 3,239.81 is: 5,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.31 : 3,239.81 = 3,239.81 : x
  2. Step 2: Convert to fraction form
    2,092.31/3,239.81 = 3,239.81/x
  3. Step 3: Cross multiply
    2,092.31x = 3,239.81 × 3,239.81
  4. Step 4: Simplify right side
    2,092.31x = 10,496,385.04
  5. Step 5: Solve for x
    x = 10,496,385.04/2,092.31
  6. Step 6: Final answer
    x = 5,016.64

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