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Finding the Third Proportional to 22,204 and 32,969

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Solution

The third proportional to 22,204 and 32,969 is: 48,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204 : 32,969 = 32,969 : x
  2. Step 2: Convert to fraction form
    22,204/32,969 = 32,969/x
  3. Step 3: Cross multiply
    22,204x = 32,969 × 32,969
  4. Step 4: Simplify right side
    22,204x = 1,086,954,961
  5. Step 5: Solve for x
    x = 1,086,954,961/22,204
  6. Step 6: Final answer
    x = 48,953.11

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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.