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Finding the Third Proportional to 23,400 and 52,356

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Solution

The third proportional to 23,400 and 52,356 is: 117,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400 : 52,356 = 52,356 : x
  2. Step 2: Convert to fraction form
    23,400/52,356 = 52,356/x
  3. Step 3: Cross multiply
    23,400x = 52,356 × 52,356
  4. Step 4: Simplify right side
    23,400x = 2,741,150,736
  5. Step 5: Solve for x
    x = 2,741,150,736/23,400
  6. Step 6: Final answer
    x = 117,143.19

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.