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Finding the Third Proportional to 22,619 and 34,176

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Solution

The third proportional to 22,619 and 34,176 is: 51,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,619 : 34,176 = 34,176 : x
  2. Step 2: Convert to fraction form
    22,619/34,176 = 34,176/x
  3. Step 3: Cross multiply
    22,619x = 34,176 × 34,176
  4. Step 4: Simplify right side
    22,619x = 1,167,998,976
  5. Step 5: Solve for x
    x = 1,167,998,976/22,619
  6. Step 6: Final answer
    x = 51,637.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.