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Finding the Third Proportional to 6,740 and 8,156

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Solution

The third proportional to 6,740 and 8,156 is: 9,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 8,156 = 8,156 : x
  2. Step 2: Convert to fraction form
    6,740/8,156 = 8,156/x
  3. Step 3: Cross multiply
    6,740x = 8,156 × 8,156
  4. Step 4: Simplify right side
    6,740x = 66,520,336
  5. Step 5: Solve for x
    x = 66,520,336/6,740
  6. Step 6: Final answer
    x = 9,869.49

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.