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Finding the Third Proportional to 22,207.69 and 33,206.06

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Solution

The third proportional to 22,207.69 and 33,206.06 is: 49,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,207.69 : 33,206.06 = 33,206.06 : x
  2. Step 2: Convert to fraction form
    22,207.69/33,206.06 = 33,206.06/x
  3. Step 3: Cross multiply
    22,207.69x = 33,206.06 × 33,206.06
  4. Step 4: Simplify right side
    22,207.69x = 1,102,642,586.75
  5. Step 5: Solve for x
    x = 1,102,642,586.75/22,207.69
  6. Step 6: Final answer
    x = 49,651.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.