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Finding the Third Proportional to 8,440 and 9,682

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Solution

The third proportional to 8,440 and 9,682 is: 11,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440 : 9,682 = 9,682 : x
  2. Step 2: Convert to fraction form
    8,440/9,682 = 9,682/x
  3. Step 3: Cross multiply
    8,440x = 9,682 × 9,682
  4. Step 4: Simplify right side
    8,440x = 93,741,124
  5. Step 5: Solve for x
    x = 93,741,124/8,440
  6. Step 6: Final answer
    x = 11,106.77

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.