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Finding the Third Proportional to 5,972 and 14,057

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Solution

The third proportional to 5,972 and 14,057 is: 33,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 14,057 = 14,057 : x
  2. Step 2: Convert to fraction form
    5,972/14,057 = 14,057/x
  3. Step 3: Cross multiply
    5,972x = 14,057 × 14,057
  4. Step 4: Simplify right side
    5,972x = 197,599,249
  5. Step 5: Solve for x
    x = 197,599,249/5,972
  6. Step 6: Final answer
    x = 33,087.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.