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Finding the Third Proportional to 6,741 and 7,461

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Solution

The third proportional to 6,741 and 7,461 is: 8,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741 : 7,461 = 7,461 : x
  2. Step 2: Convert to fraction form
    6,741/7,461 = 7,461/x
  3. Step 3: Cross multiply
    6,741x = 7,461 × 7,461
  4. Step 4: Simplify right side
    6,741x = 55,666,521
  5. Step 5: Solve for x
    x = 55,666,521/6,741
  6. Step 6: Final answer
    x = 8,257.90

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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.