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Finding the Third Proportional to 19,993 and 31,807

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Solution

The third proportional to 19,993 and 31,807 is: 50,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993 : 31,807 = 31,807 : x
  2. Step 2: Convert to fraction form
    19,993/31,807 = 31,807/x
  3. Step 3: Cross multiply
    19,993x = 31,807 × 31,807
  4. Step 4: Simplify right side
    19,993x = 1,011,685,249
  5. Step 5: Solve for x
    x = 1,011,685,249/19,993
  6. Step 6: Final answer
    x = 50,601.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.