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Finding the Third Proportional to 792 and 1,797

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Solution

The third proportional to 792 and 1,797 is: 4,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    792 : 1,797 = 1,797 : x
  2. Step 2: Convert to fraction form
    792/1,797 = 1,797/x
  3. Step 3: Cross multiply
    792x = 1,797 × 1,797
  4. Step 4: Simplify right side
    792x = 3,229,209
  5. Step 5: Solve for x
    x = 3,229,209/792
  6. Step 6: Final answer
    x = 4,077.28

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.