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Finding the Third Proportional to 16,227 and 37,597.50

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Solution

The third proportional to 16,227 and 37,597.50 is: 87,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227 : 37,597.50 = 37,597.50 : x
  2. Step 2: Convert to fraction form
    16,227/37,597.50 = 37,597.50/x
  3. Step 3: Cross multiply
    16,227x = 37,597.50 × 37,597.50
  4. Step 4: Simplify right side
    16,227x = 1,413,572,006.25
  5. Step 5: Solve for x
    x = 1,413,572,006.25/16,227
  6. Step 6: Final answer
    x = 87,112.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.