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Finding the Third Proportional to 9,508 and 19,682

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Solution

The third proportional to 9,508 and 19,682 is: 40,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508 : 19,682 = 19,682 : x
  2. Step 2: Convert to fraction form
    9,508/19,682 = 19,682/x
  3. Step 3: Cross multiply
    9,508x = 19,682 × 19,682
  4. Step 4: Simplify right side
    9,508x = 387,381,124
  5. Step 5: Solve for x
    x = 387,381,124/9,508
  6. Step 6: Final answer
    x = 40,742.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.