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Finding the Third Proportional to 5,218.13 and 8,080.88

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Solution

The third proportional to 5,218.13 and 8,080.88 is: 12,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.13 : 8,080.88 = 8,080.88 : x
  2. Step 2: Convert to fraction form
    5,218.13/8,080.88 = 8,080.88/x
  3. Step 3: Cross multiply
    5,218.13x = 8,080.88 × 8,080.88
  4. Step 4: Simplify right side
    5,218.13x = 65,300,540.77
  5. Step 5: Solve for x
    x = 65,300,540.77/5,218.13
  6. Step 6: Final answer
    x = 12,514.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.