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Finding the Third Proportional to 6,819 and 7,371

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Solution

The third proportional to 6,819 and 7,371 is: 7,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819 : 7,371 = 7,371 : x
  2. Step 2: Convert to fraction form
    6,819/7,371 = 7,371/x
  3. Step 3: Cross multiply
    6,819x = 7,371 × 7,371
  4. Step 4: Simplify right side
    6,819x = 54,331,641
  5. Step 5: Solve for x
    x = 54,331,641/6,819
  6. Step 6: Final answer
    x = 7,967.68

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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.