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Finding the Third Proportional to 19,519.31 and 41,468.63

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Solution

The third proportional to 19,519.31 and 41,468.63 is: 88,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,519.31 : 41,468.63 = 41,468.63 : x
  2. Step 2: Convert to fraction form
    19,519.31/41,468.63 = 41,468.63/x
  3. Step 3: Cross multiply
    19,519.31x = 41,468.63 × 41,468.63
  4. Step 4: Simplify right side
    19,519.31x = 1,719,646,859.39
  5. Step 5: Solve for x
    x = 1,719,646,859.39/19,519.31
  6. Step 6: Final answer
    x = 88,099.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.