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Finding the Third Proportional to 2,566.69 and 3,996.84

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Solution

The third proportional to 2,566.69 and 3,996.84 is: 6,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.69 : 3,996.84 = 3,996.84 : x
  2. Step 2: Convert to fraction form
    2,566.69/3,996.84 = 3,996.84/x
  3. Step 3: Cross multiply
    2,566.69x = 3,996.84 × 3,996.84
  4. Step 4: Simplify right side
    2,566.69x = 15,974,759.96
  5. Step 5: Solve for x
    x = 15,974,759.96/2,566.69
  6. Step 6: Final answer
    x = 6,223.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.