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Finding the Third Proportional to 3,190.80 and 6,894.18

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Solution

The third proportional to 3,190.80 and 6,894.18 is: 14,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.80 : 6,894.18 = 6,894.18 : x
  2. Step 2: Convert to fraction form
    3,190.80/6,894.18 = 6,894.18/x
  3. Step 3: Cross multiply
    3,190.80x = 6,894.18 × 6,894.18
  4. Step 4: Simplify right side
    3,190.80x = 47,529,659.70
  5. Step 5: Solve for x
    x = 47,529,659.70/3,190.80
  6. Step 6: Final answer
    x = 14,895.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.