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Finding the Third Proportional to 22,108 and 34,283

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Solution

The third proportional to 22,108 and 34,283 is: 53,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,108 : 34,283 = 34,283 : x
  2. Step 2: Convert to fraction form
    22,108/34,283 = 34,283/x
  3. Step 3: Cross multiply
    22,108x = 34,283 × 34,283
  4. Step 4: Simplify right side
    22,108x = 1,175,324,089
  5. Step 5: Solve for x
    x = 1,175,324,089/22,108
  6. Step 6: Final answer
    x = 53,162.84

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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.