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Finding the Third Proportional to 10,267.07 and 22,067.96

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Solution

The third proportional to 10,267.07 and 22,067.96 is: 47,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.07 : 22,067.96 = 22,067.96 : x
  2. Step 2: Convert to fraction form
    10,267.07/22,067.96 = 22,067.96/x
  3. Step 3: Cross multiply
    10,267.07x = 22,067.96 × 22,067.96
  4. Step 4: Simplify right side
    10,267.07x = 486,995,072.34
  5. Step 5: Solve for x
    x = 486,995,072.34/10,267.07
  6. Step 6: Final answer
    x = 47,432.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.