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Finding the Third Proportional to 6,900 and 8,394

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Solution

The third proportional to 6,900 and 8,394 is: 10,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900 : 8,394 = 8,394 : x
  2. Step 2: Convert to fraction form
    6,900/8,394 = 8,394/x
  3. Step 3: Cross multiply
    6,900x = 8,394 × 8,394
  4. Step 4: Simplify right side
    6,900x = 70,459,236
  5. Step 5: Solve for x
    x = 70,459,236/6,900
  6. Step 6: Final answer
    x = 10,211.48

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.