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Finding the Third Proportional to 22,206 and 34,383

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Solution

The third proportional to 22,206 and 34,383 is: 53,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206 : 34,383 = 34,383 : x
  2. Step 2: Convert to fraction form
    22,206/34,383 = 34,383/x
  3. Step 3: Cross multiply
    22,206x = 34,383 × 34,383
  4. Step 4: Simplify right side
    22,206x = 1,182,190,689
  5. Step 5: Solve for x
    x = 1,182,190,689/22,206
  6. Step 6: Final answer
    x = 53,237.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.