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Finding the Third Proportional to 10,755.28 and 23,067.07

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Solution

The third proportional to 10,755.28 and 23,067.07 is: 49,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.28 : 23,067.07 = 23,067.07 : x
  2. Step 2: Convert to fraction form
    10,755.28/23,067.07 = 23,067.07/x
  3. Step 3: Cross multiply
    10,755.28x = 23,067.07 × 23,067.07
  4. Step 4: Simplify right side
    10,755.28x = 532,089,732.80
  5. Step 5: Solve for x
    x = 532,089,732.80/10,755.28
  6. Step 6: Final answer
    x = 49,472.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.