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Finding the Third Proportional to 22,206 and 33,242

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Solution

The third proportional to 22,206 and 33,242 is: 49,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206 : 33,242 = 33,242 : x
  2. Step 2: Convert to fraction form
    22,206/33,242 = 33,242/x
  3. Step 3: Cross multiply
    22,206x = 33,242 × 33,242
  4. Step 4: Simplify right side
    22,206x = 1,105,030,564
  5. Step 5: Solve for x
    x = 1,105,030,564/22,206
  6. Step 6: Final answer
    x = 49,762.70

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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.