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Finding the Third Proportional to 39,793 and 86,583

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Solution

The third proportional to 39,793 and 86,583 is: 188,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,793 : 86,583 = 86,583 : x
  2. Step 2: Convert to fraction form
    39,793/86,583 = 86,583/x
  3. Step 3: Cross multiply
    39,793x = 86,583 × 86,583
  4. Step 4: Simplify right side
    39,793x = 7,496,615,889
  5. Step 5: Solve for x
    x = 7,496,615,889/39,793
  6. Step 6: Final answer
    x = 188,390.32

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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.