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Finding the Third Proportional to 8,471.25 and 19,788.75

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Solution

The third proportional to 8,471.25 and 19,788.75 is: 46,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.25 : 19,788.75 = 19,788.75 : x
  2. Step 2: Convert to fraction form
    8,471.25/19,788.75 = 19,788.75/x
  3. Step 3: Cross multiply
    8,471.25x = 19,788.75 × 19,788.75
  4. Step 4: Simplify right side
    8,471.25x = 391,594,626.56
  5. Step 5: Solve for x
    x = 391,594,626.56/8,471.25
  6. Step 6: Final answer
    x = 46,226.31

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.