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Finding the Third Proportional to 23,138 and 34,867

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Solution

The third proportional to 23,138 and 34,867 is: 52,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138 : 34,867 = 34,867 : x
  2. Step 2: Convert to fraction form
    23,138/34,867 = 34,867/x
  3. Step 3: Cross multiply
    23,138x = 34,867 × 34,867
  4. Step 4: Simplify right side
    23,138x = 1,215,707,689
  5. Step 5: Solve for x
    x = 1,215,707,689/23,138
  6. Step 6: Final answer
    x = 52,541.61

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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.