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Finding the Third Proportional to 31,380.75 and 64,933.31

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Solution

The third proportional to 31,380.75 and 64,933.31 is: 134,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380.75 : 64,933.31 = 64,933.31 : x
  2. Step 2: Convert to fraction form
    31,380.75/64,933.31 = 64,933.31/x
  3. Step 3: Cross multiply
    31,380.75x = 64,933.31 × 64,933.31
  4. Step 4: Simplify right side
    31,380.75x = 4,216,335,072.22
  5. Step 5: Solve for x
    x = 4,216,335,072.22/31,380.75
  6. Step 6: Final answer
    x = 134,360.56

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.