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Finding the Third Proportional to 6,834 and 7,386

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Solution

The third proportional to 6,834 and 7,386 is: 7,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834 : 7,386 = 7,386 : x
  2. Step 2: Convert to fraction form
    6,834/7,386 = 7,386/x
  3. Step 3: Cross multiply
    6,834x = 7,386 × 7,386
  4. Step 4: Simplify right side
    6,834x = 54,552,996
  5. Step 5: Solve for x
    x = 54,552,996/6,834
  6. Step 6: Final answer
    x = 7,982.59

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.