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Finding the Third Proportional to 8,163 and 8,901

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Solution

The third proportional to 8,163 and 8,901 is: 9,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163 : 8,901 = 8,901 : x
  2. Step 2: Convert to fraction form
    8,163/8,901 = 8,901/x
  3. Step 3: Cross multiply
    8,163x = 8,901 × 8,901
  4. Step 4: Simplify right side
    8,163x = 79,227,801
  5. Step 5: Solve for x
    x = 79,227,801/8,163
  6. Step 6: Final answer
    x = 9,705.72

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.