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Finding the Third Proportional to 3,771 and 6,256.50

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Solution

The third proportional to 3,771 and 6,256.50 is: 10,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771 : 6,256.50 = 6,256.50 : x
  2. Step 2: Convert to fraction form
    3,771/6,256.50 = 6,256.50/x
  3. Step 3: Cross multiply
    3,771x = 6,256.50 × 6,256.50
  4. Step 4: Simplify right side
    3,771x = 39,143,792.25
  5. Step 5: Solve for x
    x = 39,143,792.25/3,771
  6. Step 6: Final answer
    x = 10,380.22

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.