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Finding the Third Proportional to 8,475.89 and 18,181.97

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Solution

The third proportional to 8,475.89 and 18,181.97 is: 39,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.89 : 18,181.97 = 18,181.97 : x
  2. Step 2: Convert to fraction form
    8,475.89/18,181.97 = 18,181.97/x
  3. Step 3: Cross multiply
    8,475.89x = 18,181.97 × 18,181.97
  4. Step 4: Simplify right side
    8,475.89x = 330,583,987.63
  5. Step 5: Solve for x
    x = 330,583,987.63/8,475.89
  6. Step 6: Final answer
    x = 39,002.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.