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Finding the Third Proportional to 11,741.84 and 18,202.22

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Solution

The third proportional to 11,741.84 and 18,202.22 is: 28,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.84 : 18,202.22 = 18,202.22 : x
  2. Step 2: Convert to fraction form
    11,741.84/18,202.22 = 18,202.22/x
  3. Step 3: Cross multiply
    11,741.84x = 18,202.22 × 18,202.22
  4. Step 4: Simplify right side
    11,741.84x = 331,320,767.42
  5. Step 5: Solve for x
    x = 331,320,767.42/11,741.84
  6. Step 6: Final answer
    x = 28,217.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.