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Finding the Third Proportional to 49,322 and 69,790

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Solution

The third proportional to 49,322 and 69,790 is: 98,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322 : 69,790 = 69,790 : x
  2. Step 2: Convert to fraction form
    49,322/69,790 = 69,790/x
  3. Step 3: Cross multiply
    49,322x = 69,790 × 69,790
  4. Step 4: Simplify right side
    49,322x = 4,870,644,100
  5. Step 5: Solve for x
    x = 4,870,644,100/49,322
  6. Step 6: Final answer
    x = 98,751.96

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.