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Finding the Third Proportional to 20,238.75 and 44,464.50

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Solution

The third proportional to 20,238.75 and 44,464.50 is: 97,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.75 : 44,464.50 = 44,464.50 : x
  2. Step 2: Convert to fraction form
    20,238.75/44,464.50 = 44,464.50/x
  3. Step 3: Cross multiply
    20,238.75x = 44,464.50 × 44,464.50
  4. Step 4: Simplify right side
    20,238.75x = 1,977,091,760.25
  5. Step 5: Solve for x
    x = 1,977,091,760.25/20,238.75
  6. Step 6: Final answer
    x = 97,688.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.