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Finding the Third Proportional to 6,102 and 8,243

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Solution

The third proportional to 6,102 and 8,243 is: 11,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102 : 8,243 = 8,243 : x
  2. Step 2: Convert to fraction form
    6,102/8,243 = 8,243/x
  3. Step 3: Cross multiply
    6,102x = 8,243 × 8,243
  4. Step 4: Simplify right side
    6,102x = 67,947,049
  5. Step 5: Solve for x
    x = 67,947,049/6,102
  6. Step 6: Final answer
    x = 11,135.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.