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Finding the Third Proportional to 23,072.42 and 50,415.26

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Solution

The third proportional to 23,072.42 and 50,415.26 is: 110,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,072.42 : 50,415.26 = 50,415.26 : x
  2. Step 2: Convert to fraction form
    23,072.42/50,415.26 = 50,415.26/x
  3. Step 3: Cross multiply
    23,072.42x = 50,415.26 × 50,415.26
  4. Step 4: Simplify right side
    23,072.42x = 2,541,698,663.40
  5. Step 5: Solve for x
    x = 2,541,698,663.40/23,072.42
  6. Step 6: Final answer
    x = 110,161.76

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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.