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Finding the Third Proportional to 8,474.06 and 18,456.19

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Solution

The third proportional to 8,474.06 and 18,456.19 is: 40,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.06 : 18,456.19 = 18,456.19 : x
  2. Step 2: Convert to fraction form
    8,474.06/18,456.19 = 18,456.19/x
  3. Step 3: Cross multiply
    8,474.06x = 18,456.19 × 18,456.19
  4. Step 4: Simplify right side
    8,474.06x = 340,630,857.04
  5. Step 5: Solve for x
    x = 340,630,857.04/8,474.06
  6. Step 6: Final answer
    x = 40,196.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.