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Finding the Third Proportional to 3,690.56 and 6,150.09

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Solution

The third proportional to 3,690.56 and 6,150.09 is: 10,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.56 : 6,150.09 = 6,150.09 : x
  2. Step 2: Convert to fraction form
    3,690.56/6,150.09 = 6,150.09/x
  3. Step 3: Cross multiply
    3,690.56x = 6,150.09 × 6,150.09
  4. Step 4: Simplify right side
    3,690.56x = 37,823,653.13
  5. Step 5: Solve for x
    x = 37,823,653.13/3,690.56
  6. Step 6: Final answer
    x = 10,248.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.