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Finding the Third Proportional to 11,081.25 and 24,015.75

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Solution

The third proportional to 11,081.25 and 24,015.75 is: 52,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,081.25 : 24,015.75 = 24,015.75 : x
  2. Step 2: Convert to fraction form
    11,081.25/24,015.75 = 24,015.75/x
  3. Step 3: Cross multiply
    11,081.25x = 24,015.75 × 24,015.75
  4. Step 4: Simplify right side
    11,081.25x = 576,756,248.06
  5. Step 5: Solve for x
    x = 576,756,248.06/11,081.25
  6. Step 6: Final answer
    x = 52,047.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.