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Finding the Third Proportional to 3,746 and 5,631

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Solution

The third proportional to 3,746 and 5,631 is: 8,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746 : 5,631 = 5,631 : x
  2. Step 2: Convert to fraction form
    3,746/5,631 = 5,631/x
  3. Step 3: Cross multiply
    3,746x = 5,631 × 5,631
  4. Step 4: Simplify right side
    3,746x = 31,708,161
  5. Step 5: Solve for x
    x = 31,708,161/3,746
  6. Step 6: Final answer
    x = 8,464.54

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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.