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Finding the Third Proportional to 39,728 and 86,690

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Solution

The third proportional to 39,728 and 86,690 is: 189,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,728 : 86,690 = 86,690 : x
  2. Step 2: Convert to fraction form
    39,728/86,690 = 86,690/x
  3. Step 3: Cross multiply
    39,728x = 86,690 × 86,690
  4. Step 4: Simplify right side
    39,728x = 7,515,156,100
  5. Step 5: Solve for x
    x = 7,515,156,100/39,728
  6. Step 6: Final answer
    x = 189,165.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.