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Finding the Third Proportional to 3,991.50 and 6,612.75

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Solution

The third proportional to 3,991.50 and 6,612.75 is: 10,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.50 : 6,612.75 = 6,612.75 : x
  2. Step 2: Convert to fraction form
    3,991.50/6,612.75 = 6,612.75/x
  3. Step 3: Cross multiply
    3,991.50x = 6,612.75 × 6,612.75
  4. Step 4: Simplify right side
    3,991.50x = 43,728,462.56
  5. Step 5: Solve for x
    x = 43,728,462.56/3,991.50
  6. Step 6: Final answer
    x = 10,955.40

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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.