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Finding the Third Proportional to 19,477.13 and 41,863.31

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Solution

The third proportional to 19,477.13 and 41,863.31 is: 89,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.13 : 41,863.31 = 41,863.31 : x
  2. Step 2: Convert to fraction form
    19,477.13/41,863.31 = 41,863.31/x
  3. Step 3: Cross multiply
    19,477.13x = 41,863.31 × 41,863.31
  4. Step 4: Simplify right side
    19,477.13x = 1,752,536,933.47
  5. Step 5: Solve for x
    x = 1,752,536,933.47/19,477.13
  6. Step 6: Final answer
    x = 89,979.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.