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Finding the Third Proportional to 8,163 and 9,207

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Solution

The third proportional to 8,163 and 9,207 is: 10,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163 : 9,207 = 9,207 : x
  2. Step 2: Convert to fraction form
    8,163/9,207 = 9,207/x
  3. Step 3: Cross multiply
    8,163x = 9,207 × 9,207
  4. Step 4: Simplify right side
    8,163x = 84,768,849
  5. Step 5: Solve for x
    x = 84,768,849/8,163
  6. Step 6: Final answer
    x = 10,384.52

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.