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Finding the Third Proportional to 5,339.99 and 11,708.61

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Solution

The third proportional to 5,339.99 and 11,708.61 is: 25,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.99 : 11,708.61 = 11,708.61 : x
  2. Step 2: Convert to fraction form
    5,339.99/11,708.61 = 11,708.61/x
  3. Step 3: Cross multiply
    5,339.99x = 11,708.61 × 11,708.61
  4. Step 4: Simplify right side
    5,339.99x = 137,091,624.97
  5. Step 5: Solve for x
    x = 137,091,624.97/5,339.99
  6. Step 6: Final answer
    x = 25,672.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.