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Finding the Third Proportional to 3,747 and 5,735

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Solution

The third proportional to 3,747 and 5,735 is: 8,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747 : 5,735 = 5,735 : x
  2. Step 2: Convert to fraction form
    3,747/5,735 = 5,735/x
  3. Step 3: Cross multiply
    3,747x = 5,735 × 5,735
  4. Step 4: Simplify right side
    3,747x = 32,890,225
  5. Step 5: Solve for x
    x = 32,890,225/3,747
  6. Step 6: Final answer
    x = 8,777.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.