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Finding the Third Proportional to 5,163 and 10,569

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Solution

The third proportional to 5,163 and 10,569 is: 21,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163 : 10,569 = 10,569 : x
  2. Step 2: Convert to fraction form
    5,163/10,569 = 10,569/x
  3. Step 3: Cross multiply
    5,163x = 10,569 × 10,569
  4. Step 4: Simplify right side
    5,163x = 111,703,761
  5. Step 5: Solve for x
    x = 111,703,761/5,163
  6. Step 6: Final answer
    x = 21,635.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.