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Finding the Third Proportional to 36,853 and 86,623

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Solution

The third proportional to 36,853 and 86,623 is: 203,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,853 : 86,623 = 86,623 : x
  2. Step 2: Convert to fraction form
    36,853/86,623 = 86,623/x
  3. Step 3: Cross multiply
    36,853x = 86,623 × 86,623
  4. Step 4: Simplify right side
    36,853x = 7,503,544,129
  5. Step 5: Solve for x
    x = 7,503,544,129/36,853
  6. Step 6: Final answer
    x = 203,607.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.