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Finding the Third Proportional to 6,741 and 7,497

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Solution

The third proportional to 6,741 and 7,497 is: 8,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741 : 7,497 = 7,497 : x
  2. Step 2: Convert to fraction form
    6,741/7,497 = 7,497/x
  3. Step 3: Cross multiply
    6,741x = 7,497 × 7,497
  4. Step 4: Simplify right side
    6,741x = 56,205,009
  5. Step 5: Solve for x
    x = 56,205,009/6,741
  6. Step 6: Final answer
    x = 8,337.79

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.