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Finding the Third Proportional to 6,080.53 and 13,314.47

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Solution

The third proportional to 6,080.53 and 13,314.47 is: 29,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.53 : 13,314.47 = 13,314.47 : x
  2. Step 2: Convert to fraction form
    6,080.53/13,314.47 = 13,314.47/x
  3. Step 3: Cross multiply
    6,080.53x = 13,314.47 × 13,314.47
  4. Step 4: Simplify right side
    6,080.53x = 177,275,078.09
  5. Step 5: Solve for x
    x = 177,275,078.09/6,080.53
  6. Step 6: Final answer
    x = 29,154.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.