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Finding the Third Proportional to 34,317 and 54,800

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Solution

The third proportional to 34,317 and 54,800 is: 87,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,317 : 54,800 = 54,800 : x
  2. Step 2: Convert to fraction form
    34,317/54,800 = 54,800/x
  3. Step 3: Cross multiply
    34,317x = 54,800 × 54,800
  4. Step 4: Simplify right side
    34,317x = 3,003,040,000
  5. Step 5: Solve for x
    x = 3,003,040,000/34,317
  6. Step 6: Final answer
    x = 87,508.81

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.