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Finding the Third Proportional to 11,884.50 and 24,437.25

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Solution

The third proportional to 11,884.50 and 24,437.25 is: 50,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.50 : 24,437.25 = 24,437.25 : x
  2. Step 2: Convert to fraction form
    11,884.50/24,437.25 = 24,437.25/x
  3. Step 3: Cross multiply
    11,884.50x = 24,437.25 × 24,437.25
  4. Step 4: Simplify right side
    11,884.50x = 597,179,187.56
  5. Step 5: Solve for x
    x = 597,179,187.56/11,884.50
  6. Step 6: Final answer
    x = 50,248.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.