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Finding the Third Proportional to 13,002.75 and 27,733.50

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Solution

The third proportional to 13,002.75 and 27,733.50 is: 59,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.75 : 27,733.50 = 27,733.50 : x
  2. Step 2: Convert to fraction form
    13,002.75/27,733.50 = 27,733.50/x
  3. Step 3: Cross multiply
    13,002.75x = 27,733.50 × 27,733.50
  4. Step 4: Simplify right side
    13,002.75x = 769,147,022.25
  5. Step 5: Solve for x
    x = 769,147,022.25/13,002.75
  6. Step 6: Final answer
    x = 59,152.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.