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Finding the Third Proportional to 3,766.50 and 6,208.31

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Solution

The third proportional to 3,766.50 and 6,208.31 is: 10,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.50 : 6,208.31 = 6,208.31 : x
  2. Step 2: Convert to fraction form
    3,766.50/6,208.31 = 6,208.31/x
  3. Step 3: Cross multiply
    3,766.50x = 6,208.31 × 6,208.31
  4. Step 4: Simplify right side
    3,766.50x = 38,543,144.10
  5. Step 5: Solve for x
    x = 38,543,144.10/3,766.50
  6. Step 6: Final answer
    x = 10,233.15

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.