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Finding the Third Proportional to 9,431.44 and 14,147.16

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Solution

The third proportional to 9,431.44 and 14,147.16 is: 21,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.44 : 14,147.16 = 14,147.16 : x
  2. Step 2: Convert to fraction form
    9,431.44/14,147.16 = 14,147.16/x
  3. Step 3: Cross multiply
    9,431.44x = 14,147.16 × 14,147.16
  4. Step 4: Simplify right side
    9,431.44x = 200,142,029.96
  5. Step 5: Solve for x
    x = 200,142,029.96/9,431.44
  6. Step 6: Final answer
    x = 21,220.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.