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Finding the Third Proportional to 11,205.84 and 24,267.09

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Solution

The third proportional to 11,205.84 and 24,267.09 is: 52,552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.84 : 24,267.09 = 24,267.09 : x
  2. Step 2: Convert to fraction form
    11,205.84/24,267.09 = 24,267.09/x
  3. Step 3: Cross multiply
    11,205.84x = 24,267.09 × 24,267.09
  4. Step 4: Simplify right side
    11,205.84x = 588,891,839.07
  5. Step 5: Solve for x
    x = 588,891,839.07/11,205.84
  6. Step 6: Final answer
    x = 52,552.21

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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.