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Finding the Third Proportional to 49,671 and 69,766

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Solution

The third proportional to 49,671 and 69,766 is: 97,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,671 : 69,766 = 69,766 : x
  2. Step 2: Convert to fraction form
    49,671/69,766 = 69,766/x
  3. Step 3: Cross multiply
    49,671x = 69,766 × 69,766
  4. Step 4: Simplify right side
    49,671x = 4,867,294,756
  5. Step 5: Solve for x
    x = 4,867,294,756/49,671
  6. Step 6: Final answer
    x = 97,990.67

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.