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Finding the Third Proportional to 12,991.50 and 27,759.94

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Solution

The third proportional to 12,991.50 and 27,759.94 is: 59,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.50 : 27,759.94 = 27,759.94 : x
  2. Step 2: Convert to fraction form
    12,991.50/27,759.94 = 27,759.94/x
  3. Step 3: Cross multiply
    12,991.50x = 27,759.94 × 27,759.94
  4. Step 4: Simplify right side
    12,991.50x = 770,614,130.00
  5. Step 5: Solve for x
    x = 770,614,130.00/12,991.50
  6. Step 6: Final answer
    x = 59,316.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.