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Finding the Third Proportional to 31,211.30 and 48,908.81

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Solution

The third proportional to 31,211.30 and 48,908.81 is: 76,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.30 : 48,908.81 = 48,908.81 : x
  2. Step 2: Convert to fraction form
    31,211.30/48,908.81 = 48,908.81/x
  3. Step 3: Cross multiply
    31,211.30x = 48,908.81 × 48,908.81
  4. Step 4: Simplify right side
    31,211.30x = 2,392,071,940.16
  5. Step 5: Solve for x
    x = 2,392,071,940.16/31,211.30
  6. Step 6: Final answer
    x = 76,641.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.