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Finding the Third Proportional to 49,551.75 and 71,007.75

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Solution

The third proportional to 49,551.75 and 71,007.75 is: 101,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,551.75 : 71,007.75 = 71,007.75 : x
  2. Step 2: Convert to fraction form
    49,551.75/71,007.75 = 71,007.75/x
  3. Step 3: Cross multiply
    49,551.75x = 71,007.75 × 71,007.75
  4. Step 4: Simplify right side
    49,551.75x = 5,042,100,560.06
  5. Step 5: Solve for x
    x = 5,042,100,560.06/49,551.75
  6. Step 6: Final answer
    x = 101,754.24

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.