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Finding the Third Proportional to 1,163 and 1,663

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Solution

The third proportional to 1,163 and 1,663 is: 2,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163 : 1,663 = 1,663 : x
  2. Step 2: Convert to fraction form
    1,163/1,663 = 1,663/x
  3. Step 3: Cross multiply
    1,163x = 1,663 × 1,663
  4. Step 4: Simplify right side
    1,163x = 2,765,569
  5. Step 5: Solve for x
    x = 2,765,569/1,163
  6. Step 6: Final answer
    x = 2,377.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.