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Finding the Third Proportional to 814.13 and 1,810.31

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Solution

The third proportional to 814.13 and 1,810.31 is: 4,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.13 : 1,810.31 = 1,810.31 : x
  2. Step 2: Convert to fraction form
    814.13/1,810.31 = 1,810.31/x
  3. Step 3: Cross multiply
    814.13x = 1,810.31 × 1,810.31
  4. Step 4: Simplify right side
    814.13x = 3,277,231.35
  5. Step 5: Solve for x
    x = 3,277,231.35/814.13
  6. Step 6: Final answer
    x = 4,025.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.