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Finding the Third Proportional to 14,342.47 and 31,067.69

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Solution

The third proportional to 14,342.47 and 31,067.69 is: 67,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.47 : 31,067.69 = 31,067.69 : x
  2. Step 2: Convert to fraction form
    14,342.47/31,067.69 = 31,067.69/x
  3. Step 3: Cross multiply
    14,342.47x = 31,067.69 × 31,067.69
  4. Step 4: Simplify right side
    14,342.47x = 965,201,206.60
  5. Step 5: Solve for x
    x = 965,201,206.60/14,342.47
  6. Step 6: Final answer
    x = 67,296.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.