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Finding the Third Proportional to 19,183.71 and 41,647.92

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Solution

The third proportional to 19,183.71 and 41,647.92 is: 90,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183.71 : 41,647.92 = 41,647.92 : x
  2. Step 2: Convert to fraction form
    19,183.71/41,647.92 = 41,647.92/x
  3. Step 3: Cross multiply
    19,183.71x = 41,647.92 × 41,647.92
  4. Step 4: Simplify right side
    19,183.71x = 1,734,549,396.51
  5. Step 5: Solve for x
    x = 1,734,549,396.51/19,183.71
  6. Step 6: Final answer
    x = 90,417.82

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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.