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Finding the Third Proportional to 14,992 and 33,136

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Solution

The third proportional to 14,992 and 33,136 is: 73,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992 : 33,136 = 33,136 : x
  2. Step 2: Convert to fraction form
    14,992/33,136 = 33,136/x
  3. Step 3: Cross multiply
    14,992x = 33,136 × 33,136
  4. Step 4: Simplify right side
    14,992x = 1,097,994,496
  5. Step 5: Solve for x
    x = 1,097,994,496/14,992
  6. Step 6: Final answer
    x = 73,238.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.