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Finding the Third Proportional to 23,015 and 34,869

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Solution

The third proportional to 23,015 and 34,869 is: 52,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,015 : 34,869 = 34,869 : x
  2. Step 2: Convert to fraction form
    23,015/34,869 = 34,869/x
  3. Step 3: Cross multiply
    23,015x = 34,869 × 34,869
  4. Step 4: Simplify right side
    23,015x = 1,215,847,161
  5. Step 5: Solve for x
    x = 1,215,847,161/23,015
  6. Step 6: Final answer
    x = 52,828.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.