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Finding the Third Proportional to 17,849 and 36,130

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Solution

The third proportional to 17,849 and 36,130 is: 73,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,849 : 36,130 = 36,130 : x
  2. Step 2: Convert to fraction form
    17,849/36,130 = 36,130/x
  3. Step 3: Cross multiply
    17,849x = 36,130 × 36,130
  4. Step 4: Simplify right side
    17,849x = 1,305,376,900
  5. Step 5: Solve for x
    x = 1,305,376,900/17,849
  6. Step 6: Final answer
    x = 73,134.46

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.