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Finding the Third Proportional to 11,176.31 and 16,986.38

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Solution

The third proportional to 11,176.31 and 16,986.38 is: 25,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.31 : 16,986.38 = 16,986.38 : x
  2. Step 2: Convert to fraction form
    11,176.31/16,986.38 = 16,986.38/x
  3. Step 3: Cross multiply
    11,176.31x = 16,986.38 × 16,986.38
  4. Step 4: Simplify right side
    11,176.31x = 288,536,935.64
  5. Step 5: Solve for x
    x = 288,536,935.64/11,176.31
  6. Step 6: Final answer
    x = 25,816.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.