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Finding the Third Proportional to 3,682 and 9,124

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Solution

The third proportional to 3,682 and 9,124 is: 22,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682 : 9,124 = 9,124 : x
  2. Step 2: Convert to fraction form
    3,682/9,124 = 9,124/x
  3. Step 3: Cross multiply
    3,682x = 9,124 × 9,124
  4. Step 4: Simplify right side
    3,682x = 83,247,376
  5. Step 5: Solve for x
    x = 83,247,376/3,682
  6. Step 6: Final answer
    x = 22,609.28

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.