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Finding the Third Proportional to 8,224 and 17,682

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Solution

The third proportional to 8,224 and 17,682 is: 38,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224 : 17,682 = 17,682 : x
  2. Step 2: Convert to fraction form
    8,224/17,682 = 17,682/x
  3. Step 3: Cross multiply
    8,224x = 17,682 × 17,682
  4. Step 4: Simplify right side
    8,224x = 312,653,124
  5. Step 5: Solve for x
    x = 312,653,124/8,224
  6. Step 6: Final answer
    x = 38,017.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.