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Finding the Third Proportional to 19,826.50 and 44,027

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Solution

The third proportional to 19,826.50 and 44,027 is: 97,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.50 : 44,027 = 44,027 : x
  2. Step 2: Convert to fraction form
    19,826.50/44,027 = 44,027/x
  3. Step 3: Cross multiply
    19,826.50x = 44,027 × 44,027
  4. Step 4: Simplify right side
    19,826.50x = 1,938,376,729
  5. Step 5: Solve for x
    x = 1,938,376,729/19,826.50
  6. Step 6: Final answer
    x = 97,766.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.