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Finding the Third Proportional to 1,283.20 and 1,684.97

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Solution

The third proportional to 1,283.20 and 1,684.97 is: 2,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.20 : 1,684.97 = 1,684.97 : x
  2. Step 2: Convert to fraction form
    1,283.20/1,684.97 = 1,684.97/x
  3. Step 3: Cross multiply
    1,283.20x = 1,684.97 × 1,684.97
  4. Step 4: Simplify right side
    1,283.20x = 2,839,119.69
  5. Step 5: Solve for x
    x = 2,839,119.69/1,283.20
  6. Step 6: Final answer
    x = 2,212.53

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.