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Finding the Third Proportional to 1,763.96 and 3,855.88

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Solution

The third proportional to 1,763.96 and 3,855.88 is: 8,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.96 : 3,855.88 = 3,855.88 : x
  2. Step 2: Convert to fraction form
    1,763.96/3,855.88 = 3,855.88/x
  3. Step 3: Cross multiply
    1,763.96x = 3,855.88 × 3,855.88
  4. Step 4: Simplify right side
    1,763.96x = 14,867,847.33
  5. Step 5: Solve for x
    x = 14,867,847.33/1,763.96
  6. Step 6: Final answer
    x = 8,428.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.