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Finding the Third Proportional to 3,818.25 and 5,751

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Solution

The third proportional to 3,818.25 and 5,751 is: 8,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.25 : 5,751 = 5,751 : x
  2. Step 2: Convert to fraction form
    3,818.25/5,751 = 5,751/x
  3. Step 3: Cross multiply
    3,818.25x = 5,751 × 5,751
  4. Step 4: Simplify right side
    3,818.25x = 33,074,001
  5. Step 5: Solve for x
    x = 33,074,001/3,818.25
  6. Step 6: Final answer
    x = 8,662.08

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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.