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Finding the Third Proportional to 31,939.31 and 43,394.96

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Solution

The third proportional to 31,939.31 and 43,394.96 is: 58,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,939.31 : 43,394.96 = 43,394.96 : x
  2. Step 2: Convert to fraction form
    31,939.31/43,394.96 = 43,394.96/x
  3. Step 3: Cross multiply
    31,939.31x = 43,394.96 × 43,394.96
  4. Step 4: Simplify right side
    31,939.31x = 1,883,122,465.26
  5. Step 5: Solve for x
    x = 1,883,122,465.26/31,939.31
  6. Step 6: Final answer
    x = 58,959.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.