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Finding the Third Proportional to 49,287 and 69,740

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Solution

The third proportional to 49,287 and 69,740 is: 98,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,287 : 69,740 = 69,740 : x
  2. Step 2: Convert to fraction form
    49,287/69,740 = 69,740/x
  3. Step 3: Cross multiply
    49,287x = 69,740 × 69,740
  4. Step 4: Simplify right side
    49,287x = 4,863,667,600
  5. Step 5: Solve for x
    x = 4,863,667,600/49,287
  6. Step 6: Final answer
    x = 98,680.54

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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.