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Finding the Third Proportional to 5,844.38 and 7,984.69

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Solution

The third proportional to 5,844.38 and 7,984.69 is: 10,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.38 : 7,984.69 = 7,984.69 : x
  2. Step 2: Convert to fraction form
    5,844.38/7,984.69 = 7,984.69/x
  3. Step 3: Cross multiply
    5,844.38x = 7,984.69 × 7,984.69
  4. Step 4: Simplify right side
    5,844.38x = 63,755,234.47
  5. Step 5: Solve for x
    x = 63,755,234.47/5,844.38
  6. Step 6: Final answer
    x = 10,908.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.