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Finding the Third Proportional to 10,861.88 and 16,791.38

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Solution

The third proportional to 10,861.88 and 16,791.38 is: 25,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.88 : 16,791.38 = 16,791.38 : x
  2. Step 2: Convert to fraction form
    10,861.88/16,791.38 = 16,791.38/x
  3. Step 3: Cross multiply
    10,861.88x = 16,791.38 × 16,791.38
  4. Step 4: Simplify right side
    10,861.88x = 281,950,274.39
  5. Step 5: Solve for x
    x = 281,950,274.39/10,861.88
  6. Step 6: Final answer
    x = 25,957.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.