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Finding the Third Proportional to 39,834 and 87,444

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Solution

The third proportional to 39,834 and 87,444 is: 191,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,834 : 87,444 = 87,444 : x
  2. Step 2: Convert to fraction form
    39,834/87,444 = 87,444/x
  3. Step 3: Cross multiply
    39,834x = 87,444 × 87,444
  4. Step 4: Simplify right side
    39,834x = 7,646,453,136
  5. Step 5: Solve for x
    x = 7,646,453,136/39,834
  6. Step 6: Final answer
    x = 191,957.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.