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Finding the Third Proportional to 3,185.88 and 6,986.75

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Solution

The third proportional to 3,185.88 and 6,986.75 is: 15,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.88 : 6,986.75 = 6,986.75 : x
  2. Step 2: Convert to fraction form
    3,185.88/6,986.75 = 6,986.75/x
  3. Step 3: Cross multiply
    3,185.88x = 6,986.75 × 6,986.75
  4. Step 4: Simplify right side
    3,185.88x = 48,814,675.56
  5. Step 5: Solve for x
    x = 48,814,675.56/3,185.88
  6. Step 6: Final answer
    x = 15,322.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.