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Finding the Third Proportional to 19,136.25 and 42,270.61

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Solution

The third proportional to 19,136.25 and 42,270.61 is: 93,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.25 : 42,270.61 = 42,270.61 : x
  2. Step 2: Convert to fraction form
    19,136.25/42,270.61 = 42,270.61/x
  3. Step 3: Cross multiply
    19,136.25x = 42,270.61 × 42,270.61
  4. Step 4: Simplify right side
    19,136.25x = 1,786,804,416.93
  5. Step 5: Solve for x
    x = 1,786,804,416.93/19,136.25
  6. Step 6: Final answer
    x = 93,372.76

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.