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Finding the Third Proportional to 31,947 and 67,992

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Solution

The third proportional to 31,947 and 67,992 is: 144,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947 : 67,992 = 67,992 : x
  2. Step 2: Convert to fraction form
    31,947/67,992 = 67,992/x
  3. Step 3: Cross multiply
    31,947x = 67,992 × 67,992
  4. Step 4: Simplify right side
    31,947x = 4,622,912,064
  5. Step 5: Solve for x
    x = 4,622,912,064/31,947
  6. Step 6: Final answer
    x = 144,705.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.