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Finding the Third Proportional to 1,282.13 and 2,761.13

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Solution

The third proportional to 1,282.13 and 2,761.13 is: 5,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.13 : 2,761.13 = 2,761.13 : x
  2. Step 2: Convert to fraction form
    1,282.13/2,761.13 = 2,761.13/x
  3. Step 3: Cross multiply
    1,282.13x = 2,761.13 × 2,761.13
  4. Step 4: Simplify right side
    1,282.13x = 7,623,811.27
  5. Step 5: Solve for x
    x = 7,623,811.27/1,282.13
  6. Step 6: Final answer
    x = 5,946.23

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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.