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Finding the Third Proportional to 3,861.84 and 7,994.53

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Solution

The third proportional to 3,861.84 and 7,994.53 is: 16,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.84 : 7,994.53 = 7,994.53 : x
  2. Step 2: Convert to fraction form
    3,861.84/7,994.53 = 7,994.53/x
  3. Step 3: Cross multiply
    3,861.84x = 7,994.53 × 7,994.53
  4. Step 4: Simplify right side
    3,861.84x = 63,912,529.91
  5. Step 5: Solve for x
    x = 63,912,529.91/3,861.84
  6. Step 6: Final answer
    x = 16,549.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.