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Finding the Third Proportional to 6,906 and 7,674

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Solution

The third proportional to 6,906 and 7,674 is: 8,527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906 : 7,674 = 7,674 : x
  2. Step 2: Convert to fraction form
    6,906/7,674 = 7,674/x
  3. Step 3: Cross multiply
    6,906x = 7,674 × 7,674
  4. Step 4: Simplify right side
    6,906x = 58,890,276
  5. Step 5: Solve for x
    x = 58,890,276/6,906
  6. Step 6: Final answer
    x = 8,527.41

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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.