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Finding the Third Proportional to 19,764.75 and 43,216.50

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Solution

The third proportional to 19,764.75 and 43,216.50 is: 94,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764.75 : 43,216.50 = 43,216.50 : x
  2. Step 2: Convert to fraction form
    19,764.75/43,216.50 = 43,216.50/x
  3. Step 3: Cross multiply
    19,764.75x = 43,216.50 × 43,216.50
  4. Step 4: Simplify right side
    19,764.75x = 1,867,665,872.25
  5. Step 5: Solve for x
    x = 1,867,665,872.25/19,764.75
  6. Step 6: Final answer
    x = 94,494.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.