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Finding the Third Proportional to 6,959.67 and 10,456.59

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Solution

The third proportional to 6,959.67 and 10,456.59 is: 15,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.67 : 10,456.59 = 10,456.59 : x
  2. Step 2: Convert to fraction form
    6,959.67/10,456.59 = 10,456.59/x
  3. Step 3: Cross multiply
    6,959.67x = 10,456.59 × 10,456.59
  4. Step 4: Simplify right side
    6,959.67x = 109,340,352.85
  5. Step 5: Solve for x
    x = 109,340,352.85/6,959.67
  6. Step 6: Final answer
    x = 15,710.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.