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Finding the Third Proportional to 36,848 and 86,613

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Solution

The third proportional to 36,848 and 86,613 is: 203,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,848 : 86,613 = 86,613 : x
  2. Step 2: Convert to fraction form
    36,848/86,613 = 86,613/x
  3. Step 3: Cross multiply
    36,848x = 86,613 × 86,613
  4. Step 4: Simplify right side
    36,848x = 7,501,811,769
  5. Step 5: Solve for x
    x = 7,501,811,769/36,848
  6. Step 6: Final answer
    x = 203,588.03

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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.