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Finding the Third Proportional to 13,284 and 18,766

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Solution

The third proportional to 13,284 and 18,766 is: 26,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 18,766 = 18,766 : x
  2. Step 2: Convert to fraction form
    13,284/18,766 = 18,766/x
  3. Step 3: Cross multiply
    13,284x = 18,766 × 18,766
  4. Step 4: Simplify right side
    13,284x = 352,162,756
  5. Step 5: Solve for x
    x = 352,162,756/13,284
  6. Step 6: Final answer
    x = 26,510.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.