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Finding the Third Proportional to 3,513.75 and 6,683.25

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Solution

The third proportional to 3,513.75 and 6,683.25 is: 12,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.75 : 6,683.25 = 6,683.25 : x
  2. Step 2: Convert to fraction form
    3,513.75/6,683.25 = 6,683.25/x
  3. Step 3: Cross multiply
    3,513.75x = 6,683.25 × 6,683.25
  4. Step 4: Simplify right side
    3,513.75x = 44,665,830.56
  5. Step 5: Solve for x
    x = 44,665,830.56/3,513.75
  6. Step 6: Final answer
    x = 12,711.73

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.