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Finding the Third Proportional to 3,835.79 and 5,757.49

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Solution

The third proportional to 3,835.79 and 5,757.49 is: 8,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.79 : 5,757.49 = 5,757.49 : x
  2. Step 2: Convert to fraction form
    3,835.79/5,757.49 = 5,757.49/x
  3. Step 3: Cross multiply
    3,835.79x = 5,757.49 × 5,757.49
  4. Step 4: Simplify right side
    3,835.79x = 33,148,648.82
  5. Step 5: Solve for x
    x = 33,148,648.82/3,835.79
  6. Step 6: Final answer
    x = 8,641.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.