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Finding the Third Proportional to 2,665.41 and 5,859.84

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Solution

The third proportional to 2,665.41 and 5,859.84 is: 12,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.41 : 5,859.84 = 5,859.84 : x
  2. Step 2: Convert to fraction form
    2,665.41/5,859.84 = 5,859.84/x
  3. Step 3: Cross multiply
    2,665.41x = 5,859.84 × 5,859.84
  4. Step 4: Simplify right side
    2,665.41x = 34,337,768.77
  5. Step 5: Solve for x
    x = 34,337,768.77/2,665.41
  6. Step 6: Final answer
    x = 12,882.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.