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Finding the Third Proportional to 22,425 and 33,205

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Solution

The third proportional to 22,425 and 33,205 is: 49,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425 : 33,205 = 33,205 : x
  2. Step 2: Convert to fraction form
    22,425/33,205 = 33,205/x
  3. Step 3: Cross multiply
    22,425x = 33,205 × 33,205
  4. Step 4: Simplify right side
    22,425x = 1,102,572,025
  5. Step 5: Solve for x
    x = 1,102,572,025/22,425
  6. Step 6: Final answer
    x = 49,167.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.