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Finding the Third Proportional to 17,181.50 and 36,613

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Solution

The third proportional to 17,181.50 and 36,613 is: 78,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,181.50 : 36,613 = 36,613 : x
  2. Step 2: Convert to fraction form
    17,181.50/36,613 = 36,613/x
  3. Step 3: Cross multiply
    17,181.50x = 36,613 × 36,613
  4. Step 4: Simplify right side
    17,181.50x = 1,340,511,769
  5. Step 5: Solve for x
    x = 1,340,511,769/17,181.50
  6. Step 6: Final answer
    x = 78,020.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.