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Finding the Third Proportional to 23,067 and 50,442.13

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Solution

The third proportional to 23,067 and 50,442.13 is: 110,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,067 : 50,442.13 = 50,442.13 : x
  2. Step 2: Convert to fraction form
    23,067/50,442.13 = 50,442.13/x
  3. Step 3: Cross multiply
    23,067x = 50,442.13 × 50,442.13
  4. Step 4: Simplify right side
    23,067x = 2,544,407,974.52
  5. Step 5: Solve for x
    x = 2,544,407,974.52/23,067
  6. Step 6: Final answer
    x = 110,305.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.