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Finding the Third Proportional to 42,286.50 and 63,299.25

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Solution

The third proportional to 42,286.50 and 63,299.25 is: 94,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,286.50 : 63,299.25 = 63,299.25 : x
  2. Step 2: Convert to fraction form
    42,286.50/63,299.25 = 63,299.25/x
  3. Step 3: Cross multiply
    42,286.50x = 63,299.25 × 63,299.25
  4. Step 4: Simplify right side
    42,286.50x = 4,006,795,050.56
  5. Step 5: Solve for x
    x = 4,006,795,050.56/42,286.50
  6. Step 6: Final answer
    x = 94,753.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.