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Finding the Third Proportional to 1,663 and 1,797

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Solution

The third proportional to 1,663 and 1,797 is: 1,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663 : 1,797 = 1,797 : x
  2. Step 2: Convert to fraction form
    1,663/1,797 = 1,797/x
  3. Step 3: Cross multiply
    1,663x = 1,797 × 1,797
  4. Step 4: Simplify right side
    1,663x = 3,229,209
  5. Step 5: Solve for x
    x = 3,229,209/1,663
  6. Step 6: Final answer
    x = 1,941.80

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.