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Finding the Third Proportional to 38,709 and 52,227

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Solution

The third proportional to 38,709 and 52,227 is: 70,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709 : 52,227 = 52,227 : x
  2. Step 2: Convert to fraction form
    38,709/52,227 = 52,227/x
  3. Step 3: Cross multiply
    38,709x = 52,227 × 52,227
  4. Step 4: Simplify right side
    38,709x = 2,727,659,529
  5. Step 5: Solve for x
    x = 2,727,659,529/38,709
  6. Step 6: Final answer
    x = 70,465.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.