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Finding the Third Proportional to 38,923 and 60,207

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Solution

The third proportional to 38,923 and 60,207 is: 93,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,923 : 60,207 = 60,207 : x
  2. Step 2: Convert to fraction form
    38,923/60,207 = 60,207/x
  3. Step 3: Cross multiply
    38,923x = 60,207 × 60,207
  4. Step 4: Simplify right side
    38,923x = 3,624,882,849
  5. Step 5: Solve for x
    x = 3,624,882,849/38,923
  6. Step 6: Final answer
    x = 93,129.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.