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Finding the Third Proportional to 19,977 and 43,069.50

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Solution

The third proportional to 19,977 and 43,069.50 is: 92,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977 : 43,069.50 = 43,069.50 : x
  2. Step 2: Convert to fraction form
    19,977/43,069.50 = 43,069.50/x
  3. Step 3: Cross multiply
    19,977x = 43,069.50 × 43,069.50
  4. Step 4: Simplify right side
    19,977x = 1,854,981,830.25
  5. Step 5: Solve for x
    x = 1,854,981,830.25/19,977
  6. Step 6: Final answer
    x = 92,855.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.