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Finding the Third Proportional to 9,385.88 and 21,814.31

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Solution

The third proportional to 9,385.88 and 21,814.31 is: 50,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.88 : 21,814.31 = 21,814.31 : x
  2. Step 2: Convert to fraction form
    9,385.88/21,814.31 = 21,814.31/x
  3. Step 3: Cross multiply
    9,385.88x = 21,814.31 × 21,814.31
  4. Step 4: Simplify right side
    9,385.88x = 475,864,229.85
  5. Step 5: Solve for x
    x = 475,864,229.85/9,385.88
  6. Step 6: Final answer
    x = 50,700.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.