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Finding the Third Proportional to 8,682 and 12,735

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Solution

The third proportional to 8,682 and 12,735 is: 18,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682 : 12,735 = 12,735 : x
  2. Step 2: Convert to fraction form
    8,682/12,735 = 12,735/x
  3. Step 3: Cross multiply
    8,682x = 12,735 × 12,735
  4. Step 4: Simplify right side
    8,682x = 162,180,225
  5. Step 5: Solve for x
    x = 162,180,225/8,682
  6. Step 6: Final answer
    x = 18,680.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.