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Finding the Third Proportional to 13,080.50 and 27,794

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Solution

The third proportional to 13,080.50 and 27,794 is: 59,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080.50 : 27,794 = 27,794 : x
  2. Step 2: Convert to fraction form
    13,080.50/27,794 = 27,794/x
  3. Step 3: Cross multiply
    13,080.50x = 27,794 × 27,794
  4. Step 4: Simplify right side
    13,080.50x = 772,506,436
  5. Step 5: Solve for x
    x = 772,506,436/13,080.50
  6. Step 6: Final answer
    x = 59,057.87

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.