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Finding the Third Proportional to 4,324.88 and 9,428.23

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Solution

The third proportional to 4,324.88 and 9,428.23 is: 20,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.88 : 9,428.23 = 9,428.23 : x
  2. Step 2: Convert to fraction form
    4,324.88/9,428.23 = 9,428.23/x
  3. Step 3: Cross multiply
    4,324.88x = 9,428.23 × 9,428.23
  4. Step 4: Simplify right side
    4,324.88x = 88,891,594.22
  5. Step 5: Solve for x
    x = 88,891,594.22/4,324.88
  6. Step 6: Final answer
    x = 20,553.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.