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Finding the Third Proportional to 10,776.38 and 16,179.19

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Solution

The third proportional to 10,776.38 and 16,179.19 is: 24,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.38 : 16,179.19 = 16,179.19 : x
  2. Step 2: Convert to fraction form
    10,776.38/16,179.19 = 16,179.19/x
  3. Step 3: Cross multiply
    10,776.38x = 16,179.19 × 16,179.19
  4. Step 4: Simplify right side
    10,776.38x = 261,766,108.16
  5. Step 5: Solve for x
    x = 261,766,108.16/10,776.38
  6. Step 6: Final answer
    x = 24,290.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.