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Finding the Third Proportional to 23,115 and 54,021

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Solution

The third proportional to 23,115 and 54,021 is: 126,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115 : 54,021 = 54,021 : x
  2. Step 2: Convert to fraction form
    23,115/54,021 = 54,021/x
  3. Step 3: Cross multiply
    23,115x = 54,021 × 54,021
  4. Step 4: Simplify right side
    23,115x = 2,918,268,441
  5. Step 5: Solve for x
    x = 2,918,268,441/23,115
  6. Step 6: Final answer
    x = 126,249.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.