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Finding the Third Proportional to 6,474 and 7,178

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Solution

The third proportional to 6,474 and 7,178 is: 7,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 7,178 = 7,178 : x
  2. Step 2: Convert to fraction form
    6,474/7,178 = 7,178/x
  3. Step 3: Cross multiply
    6,474x = 7,178 × 7,178
  4. Step 4: Simplify right side
    6,474x = 51,523,684
  5. Step 5: Solve for x
    x = 51,523,684/6,474
  6. Step 6: Final answer
    x = 7,958.55

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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.