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Finding the Third Proportional to 20,137.50 and 43,737.75

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Solution

The third proportional to 20,137.50 and 43,737.75 is: 94,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.50 : 43,737.75 = 43,737.75 : x
  2. Step 2: Convert to fraction form
    20,137.50/43,737.75 = 43,737.75/x
  3. Step 3: Cross multiply
    20,137.50x = 43,737.75 × 43,737.75
  4. Step 4: Simplify right side
    20,137.50x = 1,912,990,775.06
  5. Step 5: Solve for x
    x = 1,912,990,775.06/20,137.50
  6. Step 6: Final answer
    x = 94,996.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.