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Finding the Third Proportional to 6,739 and 7,459

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Solution

The third proportional to 6,739 and 7,459 is: 8,255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739 : 7,459 = 7,459 : x
  2. Step 2: Convert to fraction form
    6,739/7,459 = 7,459/x
  3. Step 3: Cross multiply
    6,739x = 7,459 × 7,459
  4. Step 4: Simplify right side
    6,739x = 55,636,681
  5. Step 5: Solve for x
    x = 55,636,681/6,739
  6. Step 6: Final answer
    x = 8,255.93

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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.