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Finding the Third Proportional to 5,046.75 and 12,211.88

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Solution

The third proportional to 5,046.75 and 12,211.88 is: 29,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.75 : 12,211.88 = 12,211.88 : x
  2. Step 2: Convert to fraction form
    5,046.75/12,211.88 = 12,211.88/x
  3. Step 3: Cross multiply
    5,046.75x = 12,211.88 × 12,211.88
  4. Step 4: Simplify right side
    5,046.75x = 149,129,891.02
  5. Step 5: Solve for x
    x = 149,129,891.02/5,046.75
  6. Step 6: Final answer
    x = 29,549.69

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.