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Finding the Third Proportional to 2,163 and 4,743

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Solution

The third proportional to 2,163 and 4,743 is: 10,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163 : 4,743 = 4,743 : x
  2. Step 2: Convert to fraction form
    2,163/4,743 = 4,743/x
  3. Step 3: Cross multiply
    2,163x = 4,743 × 4,743
  4. Step 4: Simplify right side
    2,163x = 22,496,049
  5. Step 5: Solve for x
    x = 22,496,049/2,163
  6. Step 6: Final answer
    x = 10,400.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.