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Finding the Third Proportional to 12,139.88 and 15,982.31

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Solution

The third proportional to 12,139.88 and 15,982.31 is: 21,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.88 : 15,982.31 = 15,982.31 : x
  2. Step 2: Convert to fraction form
    12,139.88/15,982.31 = 15,982.31/x
  3. Step 3: Cross multiply
    12,139.88x = 15,982.31 × 15,982.31
  4. Step 4: Simplify right side
    12,139.88x = 255,434,312.85
  5. Step 5: Solve for x
    x = 255,434,312.85/12,139.88
  6. Step 6: Final answer
    x = 21,040.93

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.