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Finding the Third Proportional to 31,348.69 and 68,409.56

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Solution

The third proportional to 31,348.69 and 68,409.56 is: 149,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,348.69 : 68,409.56 = 68,409.56 : x
  2. Step 2: Convert to fraction form
    31,348.69/68,409.56 = 68,409.56/x
  3. Step 3: Cross multiply
    31,348.69x = 68,409.56 × 68,409.56
  4. Step 4: Simplify right side
    31,348.69x = 4,679,868,241.44
  5. Step 5: Solve for x
    x = 4,679,868,241.44/31,348.69
  6. Step 6: Final answer
    x = 149,284.34

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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.