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Finding the Third Proportional to 6,080.63 and 11,175.75

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Solution

The third proportional to 6,080.63 and 11,175.75 is: 20,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.63 : 11,175.75 = 11,175.75 : x
  2. Step 2: Convert to fraction form
    6,080.63/11,175.75 = 11,175.75/x
  3. Step 3: Cross multiply
    6,080.63x = 11,175.75 × 11,175.75
  4. Step 4: Simplify right side
    6,080.63x = 124,897,388.06
  5. Step 5: Solve for x
    x = 124,897,388.06/6,080.63
  6. Step 6: Final answer
    x = 20,540.22

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.