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Finding the Third Proportional to 14,734.25 and 31,804.75

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Solution

The third proportional to 14,734.25 and 31,804.75 is: 68,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734.25 : 31,804.75 = 31,804.75 : x
  2. Step 2: Convert to fraction form
    14,734.25/31,804.75 = 31,804.75/x
  3. Step 3: Cross multiply
    14,734.25x = 31,804.75 × 31,804.75
  4. Step 4: Simplify right side
    14,734.25x = 1,011,542,122.56
  5. Step 5: Solve for x
    x = 1,011,542,122.56/14,734.25
  6. Step 6: Final answer
    x = 68,652.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.