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Finding the Third Proportional to 1,763.96 and 3,803.84

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Solution

The third proportional to 1,763.96 and 3,803.84 is: 8,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.96 : 3,803.84 = 3,803.84 : x
  2. Step 2: Convert to fraction form
    1,763.96/3,803.84 = 3,803.84/x
  3. Step 3: Cross multiply
    1,763.96x = 3,803.84 × 3,803.84
  4. Step 4: Simplify right side
    1,763.96x = 14,469,167.84
  5. Step 5: Solve for x
    x = 14,469,167.84/1,763.96
  6. Step 6: Final answer
    x = 8,202.64

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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.