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Finding the Third Proportional to 814.11 and 1,818.07

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Solution

The third proportional to 814.11 and 1,818.07 is: 4,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.11 : 1,818.07 = 1,818.07 : x
  2. Step 2: Convert to fraction form
    814.11/1,818.07 = 1,818.07/x
  3. Step 3: Cross multiply
    814.11x = 1,818.07 × 1,818.07
  4. Step 4: Simplify right side
    814.11x = 3,305,379.66
  5. Step 5: Solve for x
    x = 3,305,379.66/814.11
  6. Step 6: Final answer
    x = 4,060.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.