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Finding the Third Proportional to 6,474 and 9,243

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Solution

The third proportional to 6,474 and 9,243 is: 13,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 9,243 = 9,243 : x
  2. Step 2: Convert to fraction form
    6,474/9,243 = 9,243/x
  3. Step 3: Cross multiply
    6,474x = 9,243 × 9,243
  4. Step 4: Simplify right side
    6,474x = 85,433,049
  5. Step 5: Solve for x
    x = 85,433,049/6,474
  6. Step 6: Final answer
    x = 13,196.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.