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Finding the Third Proportional to 9,365.76 and 20,067.43

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Solution

The third proportional to 9,365.76 and 20,067.43 is: 42,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.76 : 20,067.43 = 20,067.43 : x
  2. Step 2: Convert to fraction form
    9,365.76/20,067.43 = 20,067.43/x
  3. Step 3: Cross multiply
    9,365.76x = 20,067.43 × 20,067.43
  4. Step 4: Simplify right side
    9,365.76x = 402,701,891.04
  5. Step 5: Solve for x
    x = 402,701,891.04/9,365.76
  6. Step 6: Final answer
    x = 42,997.23

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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.