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Finding the Third Proportional to 4,233.04 and 9,273.39

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Solution

The third proportional to 4,233.04 and 9,273.39 is: 20,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.04 : 9,273.39 = 9,273.39 : x
  2. Step 2: Convert to fraction form
    4,233.04/9,273.39 = 9,273.39/x
  3. Step 3: Cross multiply
    4,233.04x = 9,273.39 × 9,273.39
  4. Step 4: Simplify right side
    4,233.04x = 85,995,809.91
  5. Step 5: Solve for x
    x = 85,995,809.91/4,233.04
  6. Step 6: Final answer
    x = 20,315.37

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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.