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Finding the Third Proportional to 6,807.38 and 11,230.31

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Solution

The third proportional to 6,807.38 and 11,230.31 is: 18,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.38 : 11,230.31 = 11,230.31 : x
  2. Step 2: Convert to fraction form
    6,807.38/11,230.31 = 11,230.31/x
  3. Step 3: Cross multiply
    6,807.38x = 11,230.31 × 11,230.31
  4. Step 4: Simplify right side
    6,807.38x = 126,119,918.85
  5. Step 5: Solve for x
    x = 126,119,918.85/6,807.38
  6. Step 6: Final answer
    x = 18,526.95

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.