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Finding the Third Proportional to 2,635.03 and 5,709.66

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Solution

The third proportional to 2,635.03 and 5,709.66 is: 12,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.03 : 5,709.66 = 5,709.66 : x
  2. Step 2: Convert to fraction form
    2,635.03/5,709.66 = 5,709.66/x
  3. Step 3: Cross multiply
    2,635.03x = 5,709.66 × 5,709.66
  4. Step 4: Simplify right side
    2,635.03x = 32,600,174.49
  5. Step 5: Solve for x
    x = 32,600,174.49/2,635.03
  6. Step 6: Final answer
    x = 12,371.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.