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Finding the Third Proportional to 13,250.25 and 20,682

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Solution

The third proportional to 13,250.25 and 20,682 is: 32,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.25 : 20,682 = 20,682 : x
  2. Step 2: Convert to fraction form
    13,250.25/20,682 = 20,682/x
  3. Step 3: Cross multiply
    13,250.25x = 20,682 × 20,682
  4. Step 4: Simplify right side
    13,250.25x = 427,745,124
  5. Step 5: Solve for x
    x = 427,745,124/13,250.25
  6. Step 6: Final answer
    x = 32,282.04

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.