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Finding the Third Proportional to 34,367 and 52,028

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Solution

The third proportional to 34,367 and 52,028 is: 78,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,367 : 52,028 = 52,028 : x
  2. Step 2: Convert to fraction form
    34,367/52,028 = 52,028/x
  3. Step 3: Cross multiply
    34,367x = 52,028 × 52,028
  4. Step 4: Simplify right side
    34,367x = 2,706,912,784
  5. Step 5: Solve for x
    x = 2,706,912,784/34,367
  6. Step 6: Final answer
    x = 78,764.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.