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Finding the Third Proportional to 37,732 and 51,234

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Solution

The third proportional to 37,732 and 51,234 is: 69,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,732 : 51,234 = 51,234 : x
  2. Step 2: Convert to fraction form
    37,732/51,234 = 51,234/x
  3. Step 3: Cross multiply
    37,732x = 51,234 × 51,234
  4. Step 4: Simplify right side
    37,732x = 2,624,922,756
  5. Step 5: Solve for x
    x = 2,624,922,756/37,732
  6. Step 6: Final answer
    x = 69,567.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.