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Finding the Third Proportional to 49,891.75 and 71,722.75

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Solution

The third proportional to 49,891.75 and 71,722.75 is: 103,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,891.75 : 71,722.75 = 71,722.75 : x
  2. Step 2: Convert to fraction form
    49,891.75/71,722.75 = 71,722.75/x
  3. Step 3: Cross multiply
    49,891.75x = 71,722.75 × 71,722.75
  4. Step 4: Simplify right side
    49,891.75x = 5,144,152,867.56
  5. Step 5: Solve for x
    x = 5,144,152,867.56/49,891.75
  6. Step 6: Final answer
    x = 103,106.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.