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Finding the Third Proportional to 2,241.84 and 4,936.36

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Solution

The third proportional to 2,241.84 and 4,936.36 is: 10,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.84 : 4,936.36 = 4,936.36 : x
  2. Step 2: Convert to fraction form
    2,241.84/4,936.36 = 4,936.36/x
  3. Step 3: Cross multiply
    2,241.84x = 4,936.36 × 4,936.36
  4. Step 4: Simplify right side
    2,241.84x = 24,367,643.88
  5. Step 5: Solve for x
    x = 24,367,643.88/2,241.84
  6. Step 6: Final answer
    x = 10,869.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.