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Finding the Third Proportional to 23,124 and 34,848

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Solution

The third proportional to 23,124 and 34,848 is: 52,516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124 : 34,848 = 34,848 : x
  2. Step 2: Convert to fraction form
    23,124/34,848 = 34,848/x
  3. Step 3: Cross multiply
    23,124x = 34,848 × 34,848
  4. Step 4: Simplify right side
    23,124x = 1,214,383,104
  5. Step 5: Solve for x
    x = 1,214,383,104/23,124
  6. Step 6: Final answer
    x = 52,516.13

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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.