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Finding the Third Proportional to 892.27 and 1,887.05

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Solution

The third proportional to 892.27 and 1,887.05 is: 3,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.27 : 1,887.05 = 1,887.05 : x
  2. Step 2: Convert to fraction form
    892.27/1,887.05 = 1,887.05/x
  3. Step 3: Cross multiply
    892.27x = 1,887.05 × 1,887.05
  4. Step 4: Simplify right side
    892.27x = 3,560,945.91
  5. Step 5: Solve for x
    x = 3,560,945.91/892.27
  6. Step 6: Final answer
    x = 3,990.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.