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Finding the Third Proportional to 8,246.38 and 19,447.06

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Solution

The third proportional to 8,246.38 and 19,447.06 is: 45,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.38 : 19,447.06 = 19,447.06 : x
  2. Step 2: Convert to fraction form
    8,246.38/19,447.06 = 19,447.06/x
  3. Step 3: Cross multiply
    8,246.38x = 19,447.06 × 19,447.06
  4. Step 4: Simplify right side
    8,246.38x = 378,188,239.88
  5. Step 5: Solve for x
    x = 378,188,239.88/8,246.38
  6. Step 6: Final answer
    x = 45,861.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.