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Finding the Third Proportional to 5,123.25 and 7,757.44

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Solution

The third proportional to 5,123.25 and 7,757.44 is: 11,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.25 : 7,757.44 = 7,757.44 : x
  2. Step 2: Convert to fraction form
    5,123.25/7,757.44 = 7,757.44/x
  3. Step 3: Cross multiply
    5,123.25x = 7,757.44 × 7,757.44
  4. Step 4: Simplify right side
    5,123.25x = 60,177,836.57
  5. Step 5: Solve for x
    x = 60,177,836.57/5,123.25
  6. Step 6: Final answer
    x = 11,746.03

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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.