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Finding the Third Proportional to 12,339.75 and 19,871.25

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Solution

The third proportional to 12,339.75 and 19,871.25 is: 31,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.75 : 19,871.25 = 19,871.25 : x
  2. Step 2: Convert to fraction form
    12,339.75/19,871.25 = 19,871.25/x
  3. Step 3: Cross multiply
    12,339.75x = 19,871.25 × 19,871.25
  4. Step 4: Simplify right side
    12,339.75x = 394,866,576.56
  5. Step 5: Solve for x
    x = 394,866,576.56/12,339.75
  6. Step 6: Final answer
    x = 31,999.56

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.