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Finding the Third Proportional to 2,032.31 and 4,327.31

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Solution

The third proportional to 2,032.31 and 4,327.31 is: 9,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.31 : 4,327.31 = 4,327.31 : x
  2. Step 2: Convert to fraction form
    2,032.31/4,327.31 = 4,327.31/x
  3. Step 3: Cross multiply
    2,032.31x = 4,327.31 × 4,327.31
  4. Step 4: Simplify right side
    2,032.31x = 18,725,633.47
  5. Step 5: Solve for x
    x = 18,725,633.47/2,032.31
  6. Step 6: Final answer
    x = 9,213.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.