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Finding the Third Proportional to 2,613 and 2,997

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Solution

The third proportional to 2,613 and 2,997 is: 3,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613 : 2,997 = 2,997 : x
  2. Step 2: Convert to fraction form
    2,613/2,997 = 2,997/x
  3. Step 3: Cross multiply
    2,613x = 2,997 × 2,997
  4. Step 4: Simplify right side
    2,613x = 8,982,009
  5. Step 5: Solve for x
    x = 8,982,009/2,613
  6. Step 6: Final answer
    x = 3,437.43

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.