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Finding the Third Proportional to 11,441.25 and 15,185.81

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Solution

The third proportional to 11,441.25 and 15,185.81 is: 20,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.25 : 15,185.81 = 15,185.81 : x
  2. Step 2: Convert to fraction form
    11,441.25/15,185.81 = 15,185.81/x
  3. Step 3: Cross multiply
    11,441.25x = 15,185.81 × 15,185.81
  4. Step 4: Simplify right side
    11,441.25x = 230,608,901.29
  5. Step 5: Solve for x
    x = 230,608,901.29/11,441.25
  6. Step 6: Final answer
    x = 20,155.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.