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Finding the Third Proportional to 22,182 and 26,934

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Solution

The third proportional to 22,182 and 26,934 is: 32,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182 : 26,934 = 26,934 : x
  2. Step 2: Convert to fraction form
    22,182/26,934 = 26,934/x
  3. Step 3: Cross multiply
    22,182x = 26,934 × 26,934
  4. Step 4: Simplify right side
    22,182x = 725,440,356
  5. Step 5: Solve for x
    x = 725,440,356/22,182
  6. Step 6: Final answer
    x = 32,704.01

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.