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Finding the Third Proportional to 17,872.50 and 27,192.75

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Solution

The third proportional to 17,872.50 and 27,192.75 is: 41,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.50 : 27,192.75 = 27,192.75 : x
  2. Step 2: Convert to fraction form
    17,872.50/27,192.75 = 27,192.75/x
  3. Step 3: Cross multiply
    17,872.50x = 27,192.75 × 27,192.75
  4. Step 4: Simplify right side
    17,872.50x = 739,445,652.56
  5. Step 5: Solve for x
    x = 739,445,652.56/17,872.50
  6. Step 6: Final answer
    x = 41,373.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.