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Finding the Third Proportional to 5,186.25 and 8,245.88

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Solution

The third proportional to 5,186.25 and 8,245.88 is: 13,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.25 : 8,245.88 = 8,245.88 : x
  2. Step 2: Convert to fraction form
    5,186.25/8,245.88 = 8,245.88/x
  3. Step 3: Cross multiply
    5,186.25x = 8,245.88 × 8,245.88
  4. Step 4: Simplify right side
    5,186.25x = 67,994,454.52
  5. Step 5: Solve for x
    x = 67,994,454.52/5,186.25
  6. Step 6: Final answer
    x = 13,110.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.