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Finding the Third Proportional to 9,431.37 and 14,148.21

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Solution

The third proportional to 9,431.37 and 14,148.21 is: 21,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.37 : 14,148.21 = 14,148.21 : x
  2. Step 2: Convert to fraction form
    9,431.37/14,148.21 = 14,148.21/x
  3. Step 3: Cross multiply
    9,431.37x = 14,148.21 × 14,148.21
  4. Step 4: Simplify right side
    9,431.37x = 200,171,872.73
  5. Step 5: Solve for x
    x = 200,171,872.73/9,431.37
  6. Step 6: Final answer
    x = 21,224.06

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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.