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Finding the Third Proportional to 19,942.50 and 31,287

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Solution

The third proportional to 19,942.50 and 31,287 is: 49,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942.50 : 31,287 = 31,287 : x
  2. Step 2: Convert to fraction form
    19,942.50/31,287 = 31,287/x
  3. Step 3: Cross multiply
    19,942.50x = 31,287 × 31,287
  4. Step 4: Simplify right side
    19,942.50x = 978,876,369
  5. Step 5: Solve for x
    x = 978,876,369/19,942.50
  6. Step 6: Final answer
    x = 49,084.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.