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Finding the Third Proportional to 7,163 and 10,957

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Solution

The third proportional to 7,163 and 10,957 is: 16,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163 : 10,957 = 10,957 : x
  2. Step 2: Convert to fraction form
    7,163/10,957 = 10,957/x
  3. Step 3: Cross multiply
    7,163x = 10,957 × 10,957
  4. Step 4: Simplify right side
    7,163x = 120,055,849
  5. Step 5: Solve for x
    x = 120,055,849/7,163
  6. Step 6: Final answer
    x = 16,760.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.