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Finding the Third Proportional to 34,722.06 and 49,163.72

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Solution

The third proportional to 34,722.06 and 49,163.72 is: 69,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,722.06 : 49,163.72 = 49,163.72 : x
  2. Step 2: Convert to fraction form
    34,722.06/49,163.72 = 49,163.72/x
  3. Step 3: Cross multiply
    34,722.06x = 49,163.72 × 49,163.72
  4. Step 4: Simplify right side
    34,722.06x = 2,417,071,241.33
  5. Step 5: Solve for x
    x = 2,417,071,241.33/34,722.06
  6. Step 6: Final answer
    x = 69,611.97

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.