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Finding the Third Proportional to 8,162 and 9,296

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Solution

The third proportional to 8,162 and 9,296 is: 10,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162 : 9,296 = 9,296 : x
  2. Step 2: Convert to fraction form
    8,162/9,296 = 9,296/x
  3. Step 3: Cross multiply
    8,162x = 9,296 × 9,296
  4. Step 4: Simplify right side
    8,162x = 86,415,616
  5. Step 5: Solve for x
    x = 86,415,616/8,162
  6. Step 6: Final answer
    x = 10,587.55

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.