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Finding the Third Proportional to 39,096 and 86,624

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Solution

The third proportional to 39,096 and 86,624 is: 191,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,096 : 86,624 = 86,624 : x
  2. Step 2: Convert to fraction form
    39,096/86,624 = 86,624/x
  3. Step 3: Cross multiply
    39,096x = 86,624 × 86,624
  4. Step 4: Simplify right side
    39,096x = 7,503,717,376
  5. Step 5: Solve for x
    x = 7,503,717,376/39,096
  6. Step 6: Final answer
    x = 191,930.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.