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Finding the Third Proportional to 23,848 and 37,812

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Solution

The third proportional to 23,848 and 37,812 is: 59,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,848 : 37,812 = 37,812 : x
  2. Step 2: Convert to fraction form
    23,848/37,812 = 37,812/x
  3. Step 3: Cross multiply
    23,848x = 37,812 × 37,812
  4. Step 4: Simplify right side
    23,848x = 1,429,747,344
  5. Step 5: Solve for x
    x = 1,429,747,344/23,848
  6. Step 6: Final answer
    x = 59,952.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.