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Finding the Third Proportional to 39,786 and 86,604

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Solution

The third proportional to 39,786 and 86,604 is: 188,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,786 : 86,604 = 86,604 : x
  2. Step 2: Convert to fraction form
    39,786/86,604 = 86,604/x
  3. Step 3: Cross multiply
    39,786x = 86,604 × 86,604
  4. Step 4: Simplify right side
    39,786x = 7,500,252,816
  5. Step 5: Solve for x
    x = 7,500,252,816/39,786
  6. Step 6: Final answer
    x = 188,514.87

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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.