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Finding the Third Proportional to 31,344.75 and 68,406.75

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Solution

The third proportional to 31,344.75 and 68,406.75 is: 149,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,344.75 : 68,406.75 = 68,406.75 : x
  2. Step 2: Convert to fraction form
    31,344.75/68,406.75 = 68,406.75/x
  3. Step 3: Cross multiply
    31,344.75x = 68,406.75 × 68,406.75
  4. Step 4: Simplify right side
    31,344.75x = 4,679,483,445.56
  5. Step 5: Solve for x
    x = 4,679,483,445.56/31,344.75
  6. Step 6: Final answer
    x = 149,290.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.