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Finding the Third Proportional to 3,854 and 5,785

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Solution

The third proportional to 3,854 and 5,785 is: 8,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854 : 5,785 = 5,785 : x
  2. Step 2: Convert to fraction form
    3,854/5,785 = 5,785/x
  3. Step 3: Cross multiply
    3,854x = 5,785 × 5,785
  4. Step 4: Simplify right side
    3,854x = 33,466,225
  5. Step 5: Solve for x
    x = 33,466,225/3,854
  6. Step 6: Final answer
    x = 8,683.50

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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.