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Finding the Third Proportional to 4,039.88 and 5,926.69

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Solution

The third proportional to 4,039.88 and 5,926.69 is: 8,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039.88 : 5,926.69 = 5,926.69 : x
  2. Step 2: Convert to fraction form
    4,039.88/5,926.69 = 5,926.69/x
  3. Step 3: Cross multiply
    4,039.88x = 5,926.69 × 5,926.69
  4. Step 4: Simplify right side
    4,039.88x = 35,125,624.72
  5. Step 5: Solve for x
    x = 35,125,624.72/4,039.88
  6. Step 6: Final answer
    x = 8,694.73

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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.