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Finding the Third Proportional to 8,212 and 9,652

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Solution

The third proportional to 8,212 and 9,652 is: 11,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212 : 9,652 = 9,652 : x
  2. Step 2: Convert to fraction form
    8,212/9,652 = 9,652/x
  3. Step 3: Cross multiply
    8,212x = 9,652 × 9,652
  4. Step 4: Simplify right side
    8,212x = 93,161,104
  5. Step 5: Solve for x
    x = 93,161,104/8,212
  6. Step 6: Final answer
    x = 11,344.51

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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.