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Finding the Third Proportional to 7,163 and 10,087

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Solution

The third proportional to 7,163 and 10,087 is: 14,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163 : 10,087 = 10,087 : x
  2. Step 2: Convert to fraction form
    7,163/10,087 = 10,087/x
  3. Step 3: Cross multiply
    7,163x = 10,087 × 10,087
  4. Step 4: Simplify right side
    7,163x = 101,747,569
  5. Step 5: Solve for x
    x = 101,747,569/7,163
  6. Step 6: Final answer
    x = 14,204.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.