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Finding the Third Proportional to 8,216 and 9,692

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Solution

The third proportional to 8,216 and 9,692 is: 11,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 9,692 = 9,692 : x
  2. Step 2: Convert to fraction form
    8,216/9,692 = 9,692/x
  3. Step 3: Cross multiply
    8,216x = 9,692 × 9,692
  4. Step 4: Simplify right side
    8,216x = 93,934,864
  5. Step 5: Solve for x
    x = 93,934,864/8,216
  6. Step 6: Final answer
    x = 11,433.16

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.