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Finding the Third Proportional to 31,871.44 and 46,884.56

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Solution

The third proportional to 31,871.44 and 46,884.56 is: 68,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.44 : 46,884.56 = 46,884.56 : x
  2. Step 2: Convert to fraction form
    31,871.44/46,884.56 = 46,884.56/x
  3. Step 3: Cross multiply
    31,871.44x = 46,884.56 × 46,884.56
  4. Step 4: Simplify right side
    31,871.44x = 2,198,162,200.82
  5. Step 5: Solve for x
    x = 2,198,162,200.82/31,871.44
  6. Step 6: Final answer
    x = 68,969.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.