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Finding the Third Proportional to 31,696.73 and 49,054.15

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Solution

The third proportional to 31,696.73 and 49,054.15 is: 75,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.73 : 49,054.15 = 49,054.15 : x
  2. Step 2: Convert to fraction form
    31,696.73/49,054.15 = 49,054.15/x
  3. Step 3: Cross multiply
    31,696.73x = 49,054.15 × 49,054.15
  4. Step 4: Simplify right side
    31,696.73x = 2,406,309,478.93
  5. Step 5: Solve for x
    x = 2,406,309,478.93/31,696.73
  6. Step 6: Final answer
    x = 75,916.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.