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Finding the Third Proportional to 11,997 and 17,122.50

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Solution

The third proportional to 11,997 and 17,122.50 is: 24,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997 : 17,122.50 = 17,122.50 : x
  2. Step 2: Convert to fraction form
    11,997/17,122.50 = 17,122.50/x
  3. Step 3: Cross multiply
    11,997x = 17,122.50 × 17,122.50
  4. Step 4: Simplify right side
    11,997x = 293,180,006.25
  5. Step 5: Solve for x
    x = 293,180,006.25/11,997
  6. Step 6: Final answer
    x = 24,437.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.