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Finding the Third Proportional to 1,282.71 and 2,824.24

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Solution

The third proportional to 1,282.71 and 2,824.24 is: 6,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.71 : 2,824.24 = 2,824.24 : x
  2. Step 2: Convert to fraction form
    1,282.71/2,824.24 = 2,824.24/x
  3. Step 3: Cross multiply
    1,282.71x = 2,824.24 × 2,824.24
  4. Step 4: Simplify right side
    1,282.71x = 7,976,343.93
  5. Step 5: Solve for x
    x = 7,976,343.93/1,282.71
  6. Step 6: Final answer
    x = 6,218.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.