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Finding the Third Proportional to 2,950.12 and 6,241.90

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Solution

The third proportional to 2,950.12 and 6,241.90 is: 13,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.12 : 6,241.90 = 6,241.90 : x
  2. Step 2: Convert to fraction form
    2,950.12/6,241.90 = 6,241.90/x
  3. Step 3: Cross multiply
    2,950.12x = 6,241.90 × 6,241.90
  4. Step 4: Simplify right side
    2,950.12x = 38,961,369.25
  5. Step 5: Solve for x
    x = 38,961,369.25/2,950.12
  6. Step 6: Final answer
    x = 13,206.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.