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Finding the Third Proportional to 5,972 and 13,144

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Solution

The third proportional to 5,972 and 13,144 is: 28,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 13,144 = 13,144 : x
  2. Step 2: Convert to fraction form
    5,972/13,144 = 13,144/x
  3. Step 3: Cross multiply
    5,972x = 13,144 × 13,144
  4. Step 4: Simplify right side
    5,972x = 172,764,736
  5. Step 5: Solve for x
    x = 172,764,736/5,972
  6. Step 6: Final answer
    x = 28,929.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.