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Finding the Third Proportional to 7,959.94 and 12,040.31

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Solution

The third proportional to 7,959.94 and 12,040.31 is: 18,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.94 : 12,040.31 = 12,040.31 : x
  2. Step 2: Convert to fraction form
    7,959.94/12,040.31 = 12,040.31/x
  3. Step 3: Cross multiply
    7,959.94x = 12,040.31 × 12,040.31
  4. Step 4: Simplify right side
    7,959.94x = 144,969,125.10
  5. Step 5: Solve for x
    x = 144,969,125.10/7,959.94
  6. Step 6: Final answer
    x = 18,212.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.