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Finding the Third Proportional to 37,451 and 82,435

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Solution

The third proportional to 37,451 and 82,435 is: 181,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,451 : 82,435 = 82,435 : x
  2. Step 2: Convert to fraction form
    37,451/82,435 = 82,435/x
  3. Step 3: Cross multiply
    37,451x = 82,435 × 82,435
  4. Step 4: Simplify right side
    37,451x = 6,795,529,225
  5. Step 5: Solve for x
    x = 6,795,529,225/37,451
  6. Step 6: Final answer
    x = 181,451.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.