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Finding the Third Proportional to 22,203 and 32,967

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Solution

The third proportional to 22,203 and 32,967 is: 48,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,203 : 32,967 = 32,967 : x
  2. Step 2: Convert to fraction form
    22,203/32,967 = 32,967/x
  3. Step 3: Cross multiply
    22,203x = 32,967 × 32,967
  4. Step 4: Simplify right side
    22,203x = 1,086,823,089
  5. Step 5: Solve for x
    x = 1,086,823,089/22,203
  6. Step 6: Final answer
    x = 48,949.38

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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.