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Finding the Third Proportional to 6,144 and 14,098

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Solution

The third proportional to 6,144 and 14,098 is: 32,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144 : 14,098 = 14,098 : x
  2. Step 2: Convert to fraction form
    6,144/14,098 = 14,098/x
  3. Step 3: Cross multiply
    6,144x = 14,098 × 14,098
  4. Step 4: Simplify right side
    6,144x = 198,753,604
  5. Step 5: Solve for x
    x = 198,753,604/6,144
  6. Step 6: Final answer
    x = 32,349.22

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.