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Finding the Third Proportional to 38,027 and 50,466

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Solution

The third proportional to 38,027 and 50,466 is: 66,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,027 : 50,466 = 50,466 : x
  2. Step 2: Convert to fraction form
    38,027/50,466 = 50,466/x
  3. Step 3: Cross multiply
    38,027x = 50,466 × 50,466
  4. Step 4: Simplify right side
    38,027x = 2,546,817,156
  5. Step 5: Solve for x
    x = 2,546,817,156/38,027
  6. Step 6: Final answer
    x = 66,973.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.