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Finding the Third Proportional to 2,885.63 and 3,997.69

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Solution

The third proportional to 2,885.63 and 3,997.69 is: 5,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.63 : 3,997.69 = 3,997.69 : x
  2. Step 2: Convert to fraction form
    2,885.63/3,997.69 = 3,997.69/x
  3. Step 3: Cross multiply
    2,885.63x = 3,997.69 × 3,997.69
  4. Step 4: Simplify right side
    2,885.63x = 15,981,505.35
  5. Step 5: Solve for x
    x = 15,981,505.35/2,885.63
  6. Step 6: Final answer
    x = 5,538.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.