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Finding the Third Proportional to 8,231.63 and 17,749.13

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Solution

The third proportional to 8,231.63 and 17,749.13 is: 38,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.63 : 17,749.13 = 17,749.13 : x
  2. Step 2: Convert to fraction form
    8,231.63/17,749.13 = 17,749.13/x
  3. Step 3: Cross multiply
    8,231.63x = 17,749.13 × 17,749.13
  4. Step 4: Simplify right side
    8,231.63x = 315,031,438.27
  5. Step 5: Solve for x
    x = 315,031,438.27/8,231.63
  6. Step 6: Final answer
    x = 38,270.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.