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Finding the Third Proportional to 2,588 and 6,042

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Solution

The third proportional to 2,588 and 6,042 is: 14,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588 : 6,042 = 6,042 : x
  2. Step 2: Convert to fraction form
    2,588/6,042 = 6,042/x
  3. Step 3: Cross multiply
    2,588x = 6,042 × 6,042
  4. Step 4: Simplify right side
    2,588x = 36,505,764
  5. Step 5: Solve for x
    x = 36,505,764/2,588
  6. Step 6: Final answer
    x = 14,105.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.