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Finding the Third Proportional to 37,097.38 and 87,485

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Solution

The third proportional to 37,097.38 and 87,485 is: 206,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.38 : 87,485 = 87,485 : x
  2. Step 2: Convert to fraction form
    37,097.38/87,485 = 87,485/x
  3. Step 3: Cross multiply
    37,097.38x = 87,485 × 87,485
  4. Step 4: Simplify right side
    37,097.38x = 7,653,625,225
  5. Step 5: Solve for x
    x = 7,653,625,225/37,097.38
  6. Step 6: Final answer
    x = 206,311.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.