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Finding the Third Proportional to 22,576.22 and 40,208.91

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Solution

The third proportional to 22,576.22 and 40,208.91 is: 71,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.22 : 40,208.91 = 40,208.91 : x
  2. Step 2: Convert to fraction form
    22,576.22/40,208.91 = 40,208.91/x
  3. Step 3: Cross multiply
    22,576.22x = 40,208.91 × 40,208.91
  4. Step 4: Simplify right side
    22,576.22x = 1,616,756,141.82
  5. Step 5: Solve for x
    x = 1,616,756,141.82/22,576.22
  6. Step 6: Final answer
    x = 71,613.24

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.