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Finding the Third Proportional to 39,848 and 57,414

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Solution

The third proportional to 39,848 and 57,414 is: 82,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,848 : 57,414 = 57,414 : x
  2. Step 2: Convert to fraction form
    39,848/57,414 = 57,414/x
  3. Step 3: Cross multiply
    39,848x = 57,414 × 57,414
  4. Step 4: Simplify right side
    39,848x = 3,296,367,396
  5. Step 5: Solve for x
    x = 3,296,367,396/39,848
  6. Step 6: Final answer
    x = 82,723.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.