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Finding the Third Proportional to 756 and 1,683.70

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Solution

The third proportional to 756 and 1,683.70 is: 3,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    756 : 1,683.70 = 1,683.70 : x
  2. Step 2: Convert to fraction form
    756/1,683.70 = 1,683.70/x
  3. Step 3: Cross multiply
    756x = 1,683.70 × 1,683.70
  4. Step 4: Simplify right side
    756x = 2,834,856.21
  5. Step 5: Solve for x
    x = 2,834,856.21/756
  6. Step 6: Final answer
    x = 3,749.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.