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Finding the Third Proportional to 2,775.96 and 4,150.76

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Solution

The third proportional to 2,775.96 and 4,150.76 is: 6,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.96 : 4,150.76 = 4,150.76 : x
  2. Step 2: Convert to fraction form
    2,775.96/4,150.76 = 4,150.76/x
  3. Step 3: Cross multiply
    2,775.96x = 4,150.76 × 4,150.76
  4. Step 4: Simplify right side
    2,775.96x = 17,228,790.42
  5. Step 5: Solve for x
    x = 17,228,790.42/2,775.96
  6. Step 6: Final answer
    x = 6,206.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.