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Finding the Third Proportional to 19,121.91 and 41,284.27

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Solution

The third proportional to 19,121.91 and 41,284.27 is: 89,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,121.91 : 41,284.27 = 41,284.27 : x
  2. Step 2: Convert to fraction form
    19,121.91/41,284.27 = 41,284.27/x
  3. Step 3: Cross multiply
    19,121.91x = 41,284.27 × 41,284.27
  4. Step 4: Simplify right side
    19,121.91x = 1,704,390,588.20
  5. Step 5: Solve for x
    x = 1,704,390,588.20/19,121.91
  6. Step 6: Final answer
    x = 89,132.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.