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Finding the Third Proportional to 8,581.78 and 18,590.86

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Solution

The third proportional to 8,581.78 and 18,590.86 is: 40,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.78 : 18,590.86 = 18,590.86 : x
  2. Step 2: Convert to fraction form
    8,581.78/18,590.86 = 18,590.86/x
  3. Step 3: Cross multiply
    8,581.78x = 18,590.86 × 18,590.86
  4. Step 4: Simplify right side
    8,581.78x = 345,620,052.30
  5. Step 5: Solve for x
    x = 345,620,052.30/8,581.78
  6. Step 6: Final answer
    x = 40,273.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.