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Finding the Third Proportional to 5,240.16 and 7,789.03

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Solution

The third proportional to 5,240.16 and 7,789.03 is: 11,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.16 : 7,789.03 = 7,789.03 : x
  2. Step 2: Convert to fraction form
    5,240.16/7,789.03 = 7,789.03/x
  3. Step 3: Cross multiply
    5,240.16x = 7,789.03 × 7,789.03
  4. Step 4: Simplify right side
    5,240.16x = 60,669,007.81
  5. Step 5: Solve for x
    x = 60,669,007.81/5,240.16
  6. Step 6: Final answer
    x = 11,577.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.