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Finding the Third Proportional to 9,337.88 and 20,231.63

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Solution

The third proportional to 9,337.88 and 20,231.63 is: 43,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.88 : 20,231.63 = 20,231.63 : x
  2. Step 2: Convert to fraction form
    9,337.88/20,231.63 = 20,231.63/x
  3. Step 3: Cross multiply
    9,337.88x = 20,231.63 × 20,231.63
  4. Step 4: Simplify right side
    9,337.88x = 409,318,650.14
  5. Step 5: Solve for x
    x = 409,318,650.14/9,337.88
  6. Step 6: Final answer
    x = 43,834.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.