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Finding the Third Proportional to 9,502.88 and 22,022.44

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Solution

The third proportional to 9,502.88 and 22,022.44 is: 51,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.88 : 22,022.44 = 22,022.44 : x
  2. Step 2: Convert to fraction form
    9,502.88/22,022.44 = 22,022.44/x
  3. Step 3: Cross multiply
    9,502.88x = 22,022.44 × 22,022.44
  4. Step 4: Simplify right side
    9,502.88x = 484,987,753.44
  5. Step 5: Solve for x
    x = 484,987,753.44/9,502.88
  6. Step 6: Final answer
    x = 51,035.90

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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.