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Finding the Third Proportional to 11,941 and 25,643.50

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Solution

The third proportional to 11,941 and 25,643.50 is: 55,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941 : 25,643.50 = 25,643.50 : x
  2. Step 2: Convert to fraction form
    11,941/25,643.50 = 25,643.50/x
  3. Step 3: Cross multiply
    11,941x = 25,643.50 × 25,643.50
  4. Step 4: Simplify right side
    11,941x = 657,589,092.25
  5. Step 5: Solve for x
    x = 657,589,092.25/11,941
  6. Step 6: Final answer
    x = 55,069.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.