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Finding the Third Proportional to 13,466 and 28,766

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Solution

The third proportional to 13,466 and 28,766 is: 61,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466 : 28,766 = 28,766 : x
  2. Step 2: Convert to fraction form
    13,466/28,766 = 28,766/x
  3. Step 3: Cross multiply
    13,466x = 28,766 × 28,766
  4. Step 4: Simplify right side
    13,466x = 827,482,756
  5. Step 5: Solve for x
    x = 827,482,756/13,466
  6. Step 6: Final answer
    x = 61,449.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.