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Finding the Third Proportional to 31,213.50 and 68,790

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Solution

The third proportional to 31,213.50 and 68,790 is: 151,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,213.50 : 68,790 = 68,790 : x
  2. Step 2: Convert to fraction form
    31,213.50/68,790 = 68,790/x
  3. Step 3: Cross multiply
    31,213.50x = 68,790 × 68,790
  4. Step 4: Simplify right side
    31,213.50x = 4,732,064,100
  5. Step 5: Solve for x
    x = 4,732,064,100/31,213.50
  6. Step 6: Final answer
    x = 151,603.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.