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Finding the Third Proportional to 6,098 and 13,322

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Solution

The third proportional to 6,098 and 13,322 is: 29,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098 : 13,322 = 13,322 : x
  2. Step 2: Convert to fraction form
    6,098/13,322 = 13,322/x
  3. Step 3: Cross multiply
    6,098x = 13,322 × 13,322
  4. Step 4: Simplify right side
    6,098x = 177,475,684
  5. Step 5: Solve for x
    x = 177,475,684/6,098
  6. Step 6: Final answer
    x = 29,103.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.