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Finding the Third Proportional to 5,738 and 6,242

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Solution

The third proportional to 5,738 and 6,242 is: 6,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738 : 6,242 = 6,242 : x
  2. Step 2: Convert to fraction form
    5,738/6,242 = 6,242/x
  3. Step 3: Cross multiply
    5,738x = 6,242 × 6,242
  4. Step 4: Simplify right side
    5,738x = 38,962,564
  5. Step 5: Solve for x
    x = 38,962,564/5,738
  6. Step 6: Final answer
    x = 6,790.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.