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Finding the Third Proportional to 38,512 and 57,614

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Solution

The third proportional to 38,512 and 57,614 is: 86,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512 : 57,614 = 57,614 : x
  2. Step 2: Convert to fraction form
    38,512/57,614 = 57,614/x
  3. Step 3: Cross multiply
    38,512x = 57,614 × 57,614
  4. Step 4: Simplify right side
    38,512x = 3,319,372,996
  5. Step 5: Solve for x
    x = 3,319,372,996/38,512
  6. Step 6: Final answer
    x = 86,190.62

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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.