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Finding the Third Proportional to 902.71 and 1,922.17

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Solution

The third proportional to 902.71 and 1,922.17 is: 4,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.71 : 1,922.17 = 1,922.17 : x
  2. Step 2: Convert to fraction form
    902.71/1,922.17 = 1,922.17/x
  3. Step 3: Cross multiply
    902.71x = 1,922.17 × 1,922.17
  4. Step 4: Simplify right side
    902.71x = 3,694,729.70
  5. Step 5: Solve for x
    x = 3,694,729.70/902.71
  6. Step 6: Final answer
    x = 4,092.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.