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Finding the Third Proportional to 25,166 and 37,812

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Solution

The third proportional to 25,166 and 37,812 is: 56,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,166 : 37,812 = 37,812 : x
  2. Step 2: Convert to fraction form
    25,166/37,812 = 37,812/x
  3. Step 3: Cross multiply
    25,166x = 37,812 × 37,812
  4. Step 4: Simplify right side
    25,166x = 1,429,747,344
  5. Step 5: Solve for x
    x = 1,429,747,344/25,166
  6. Step 6: Final answer
    x = 56,812.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.