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Finding the Third Proportional to 46,785.09 and 71,912.81

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Solution

The third proportional to 46,785.09 and 71,912.81 is: 110,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,785.09 : 71,912.81 = 71,912.81 : x
  2. Step 2: Convert to fraction form
    46,785.09/71,912.81 = 71,912.81/x
  3. Step 3: Cross multiply
    46,785.09x = 71,912.81 × 71,912.81
  4. Step 4: Simplify right side
    46,785.09x = 5,171,452,601.66
  5. Step 5: Solve for x
    x = 5,171,452,601.66/46,785.09
  6. Step 6: Final answer
    x = 110,536.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.