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Finding the Third Proportional to 49,323 and 69,791

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Solution

The third proportional to 49,323 and 69,791 is: 98,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,323 : 69,791 = 69,791 : x
  2. Step 2: Convert to fraction form
    49,323/69,791 = 69,791/x
  3. Step 3: Cross multiply
    49,323x = 69,791 × 69,791
  4. Step 4: Simplify right side
    49,323x = 4,870,783,681
  5. Step 5: Solve for x
    x = 4,870,783,681/49,323
  6. Step 6: Final answer
    x = 98,752.79

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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.