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Finding the Third Proportional to 5,218.88 and 8,093.53

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Solution

The third proportional to 5,218.88 and 8,093.53 is: 12,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.88 : 8,093.53 = 8,093.53 : x
  2. Step 2: Convert to fraction form
    5,218.88/8,093.53 = 8,093.53/x
  3. Step 3: Cross multiply
    5,218.88x = 8,093.53 × 8,093.53
  4. Step 4: Simplify right side
    5,218.88x = 65,505,248.09
  5. Step 5: Solve for x
    x = 65,505,248.09/5,218.88
  6. Step 6: Final answer
    x = 12,551.60

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Why These Related Problems?

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