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Finding the Third Proportional to 8,682 and 12,583.50

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Solution

The third proportional to 8,682 and 12,583.50 is: 18,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682 : 12,583.50 = 12,583.50 : x
  2. Step 2: Convert to fraction form
    8,682/12,583.50 = 12,583.50/x
  3. Step 3: Cross multiply
    8,682x = 12,583.50 × 12,583.50
  4. Step 4: Simplify right side
    8,682x = 158,344,472.25
  5. Step 5: Solve for x
    x = 158,344,472.25/8,682
  6. Step 6: Final answer
    x = 18,238.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.