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Finding the Third Proportional to 682.13 and 1,463.81

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Solution

The third proportional to 682.13 and 1,463.81 is: 3,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.13 : 1,463.81 = 1,463.81 : x
  2. Step 2: Convert to fraction form
    682.13/1,463.81 = 1,463.81/x
  3. Step 3: Cross multiply
    682.13x = 1,463.81 × 1,463.81
  4. Step 4: Simplify right side
    682.13x = 2,142,747.04
  5. Step 5: Solve for x
    x = 2,142,747.04/682.13
  6. Step 6: Final answer
    x = 3,141.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.