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Finding the Third Proportional to 2,257.88 and 2,996.63

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Solution

The third proportional to 2,257.88 and 2,996.63 is: 3,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.88 : 2,996.63 = 2,996.63 : x
  2. Step 2: Convert to fraction form
    2,257.88/2,996.63 = 2,996.63/x
  3. Step 3: Cross multiply
    2,257.88x = 2,996.63 × 2,996.63
  4. Step 4: Simplify right side
    2,257.88x = 8,979,761.39
  5. Step 5: Solve for x
    x = 8,979,761.39/2,257.88
  6. Step 6: Final answer
    x = 3,977.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.