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Finding the Third Proportional to 5,956.69 and 8,761.69

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Solution

The third proportional to 5,956.69 and 8,761.69 is: 12,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.69 : 8,761.69 = 8,761.69 : x
  2. Step 2: Convert to fraction form
    5,956.69/8,761.69 = 8,761.69/x
  3. Step 3: Cross multiply
    5,956.69x = 8,761.69 × 8,761.69
  4. Step 4: Simplify right side
    5,956.69x = 76,767,167.85
  5. Step 5: Solve for x
    x = 76,767,167.85/5,956.69
  6. Step 6: Final answer
    x = 12,887.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.