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Finding the Third Proportional to 38,923 and 62,434

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Solution

The third proportional to 38,923 and 62,434 is: 100,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,923 : 62,434 = 62,434 : x
  2. Step 2: Convert to fraction form
    38,923/62,434 = 62,434/x
  3. Step 3: Cross multiply
    38,923x = 62,434 × 62,434
  4. Step 4: Simplify right side
    38,923x = 3,898,004,356
  5. Step 5: Solve for x
    x = 3,898,004,356/38,923
  6. Step 6: Final answer
    x = 100,146.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.