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Finding the Third Proportional to 3,840.75 and 5,735.81

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Solution

The third proportional to 3,840.75 and 5,735.81 is: 8,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.75 : 5,735.81 = 5,735.81 : x
  2. Step 2: Convert to fraction form
    3,840.75/5,735.81 = 5,735.81/x
  3. Step 3: Cross multiply
    3,840.75x = 5,735.81 × 5,735.81
  4. Step 4: Simplify right side
    3,840.75x = 32,899,545.04
  5. Step 5: Solve for x
    x = 32,899,545.04/3,840.75
  6. Step 6: Final answer
    x = 8,565.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.