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Finding the Third Proportional to 19,372.50 and 34,231.50

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Solution

The third proportional to 19,372.50 and 34,231.50 is: 60,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,372.50 : 34,231.50 = 34,231.50 : x
  2. Step 2: Convert to fraction form
    19,372.50/34,231.50 = 34,231.50/x
  3. Step 3: Cross multiply
    19,372.50x = 34,231.50 × 34,231.50
  4. Step 4: Simplify right side
    19,372.50x = 1,171,795,592.25
  5. Step 5: Solve for x
    x = 1,171,795,592.25/19,372.50
  6. Step 6: Final answer
    x = 60,487.58

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.