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Finding the Third Proportional to 2,385.28 and 5,229.98

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Solution

The third proportional to 2,385.28 and 5,229.98 is: 11,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.28 : 5,229.98 = 5,229.98 : x
  2. Step 2: Convert to fraction form
    2,385.28/5,229.98 = 5,229.98/x
  3. Step 3: Cross multiply
    2,385.28x = 5,229.98 × 5,229.98
  4. Step 4: Simplify right side
    2,385.28x = 27,352,736.56
  5. Step 5: Solve for x
    x = 27,352,736.56/2,385.28
  6. Step 6: Final answer
    x = 11,467.30

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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.