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Finding the Third Proportional to 15,419.11 and 23,067.91

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Solution

The third proportional to 15,419.11 and 23,067.91 is: 34,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419.11 : 23,067.91 = 23,067.91 : x
  2. Step 2: Convert to fraction form
    15,419.11/23,067.91 = 23,067.91/x
  3. Step 3: Cross multiply
    15,419.11x = 23,067.91 × 23,067.91
  4. Step 4: Simplify right side
    15,419.11x = 532,128,659.19
  5. Step 5: Solve for x
    x = 532,128,659.19/15,419.11
  6. Step 6: Final answer
    x = 34,510.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.