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Finding the Third Proportional to 8,945.44 and 20,278.13

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Solution

The third proportional to 8,945.44 and 20,278.13 is: 45,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945.44 : 20,278.13 = 20,278.13 : x
  2. Step 2: Convert to fraction form
    8,945.44/20,278.13 = 20,278.13/x
  3. Step 3: Cross multiply
    8,945.44x = 20,278.13 × 20,278.13
  4. Step 4: Simplify right side
    8,945.44x = 411,202,353.52
  5. Step 5: Solve for x
    x = 411,202,353.52/8,945.44
  6. Step 6: Final answer
    x = 45,967.83

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.