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Finding the Third Proportional to 37,507.50 and 79,227

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Solution

The third proportional to 37,507.50 and 79,227 is: 167,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,507.50 : 79,227 = 79,227 : x
  2. Step 2: Convert to fraction form
    37,507.50/79,227 = 79,227/x
  3. Step 3: Cross multiply
    37,507.50x = 79,227 × 79,227
  4. Step 4: Simplify right side
    37,507.50x = 6,276,917,529
  5. Step 5: Solve for x
    x = 6,276,917,529/37,507.50
  6. Step 6: Final answer
    x = 167,351.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.