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Finding the Third Proportional to 3,774 and 5,663

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Solution

The third proportional to 3,774 and 5,663 is: 8,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774 : 5,663 = 5,663 : x
  2. Step 2: Convert to fraction form
    3,774/5,663 = 5,663/x
  3. Step 3: Cross multiply
    3,774x = 5,663 × 5,663
  4. Step 4: Simplify right side
    3,774x = 32,069,569
  5. Step 5: Solve for x
    x = 32,069,569/3,774
  6. Step 6: Final answer
    x = 8,497.50

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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.