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Finding the Third Proportional to 4,203.28 and 9,222.88

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Solution

The third proportional to 4,203.28 and 9,222.88 is: 20,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.28 : 9,222.88 = 9,222.88 : x
  2. Step 2: Convert to fraction form
    4,203.28/9,222.88 = 9,222.88/x
  3. Step 3: Cross multiply
    4,203.28x = 9,222.88 × 9,222.88
  4. Step 4: Simplify right side
    4,203.28x = 85,061,423.27
  5. Step 5: Solve for x
    x = 85,061,423.27/4,203.28
  6. Step 6: Final answer
    x = 20,236.91

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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.