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Finding the Third Proportional to 5,418 and 8,169.75

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Solution

The third proportional to 5,418 and 8,169.75 is: 12,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418 : 8,169.75 = 8,169.75 : x
  2. Step 2: Convert to fraction form
    5,418/8,169.75 = 8,169.75/x
  3. Step 3: Cross multiply
    5,418x = 8,169.75 × 8,169.75
  4. Step 4: Simplify right side
    5,418x = 66,744,815.06
  5. Step 5: Solve for x
    x = 66,744,815.06/5,418
  6. Step 6: Final answer
    x = 12,319.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.