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Finding the Third Proportional to 6,966 and 8,178

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Solution

The third proportional to 6,966 and 8,178 is: 9,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 8,178 = 8,178 : x
  2. Step 2: Convert to fraction form
    6,966/8,178 = 8,178/x
  3. Step 3: Cross multiply
    6,966x = 8,178 × 8,178
  4. Step 4: Simplify right side
    6,966x = 66,879,684
  5. Step 5: Solve for x
    x = 66,879,684/6,966
  6. Step 6: Final answer
    x = 9,600.87

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.