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Finding the Third Proportional to 4,215.75 and 9,234.56

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Solution

The third proportional to 4,215.75 and 9,234.56 is: 20,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.75 : 9,234.56 = 9,234.56 : x
  2. Step 2: Convert to fraction form
    4,215.75/9,234.56 = 9,234.56/x
  3. Step 3: Cross multiply
    4,215.75x = 9,234.56 × 9,234.56
  4. Step 4: Simplify right side
    4,215.75x = 85,277,144.57
  5. Step 5: Solve for x
    x = 85,277,144.57/4,215.75
  6. Step 6: Final answer
    x = 20,228.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.