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Finding the Third Proportional to 24,667 and 37,614

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Solution

The third proportional to 24,667 and 37,614 is: 57,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667 : 37,614 = 37,614 : x
  2. Step 2: Convert to fraction form
    24,667/37,614 = 37,614/x
  3. Step 3: Cross multiply
    24,667x = 37,614 × 37,614
  4. Step 4: Simplify right side
    24,667x = 1,414,812,996
  5. Step 5: Solve for x
    x = 1,414,812,996/24,667
  6. Step 6: Final answer
    x = 57,356.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.