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Finding the Third Proportional to 22,576.22 and 33,538.22

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Solution

The third proportional to 22,576.22 and 33,538.22 is: 49,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.22 : 33,538.22 = 33,538.22 : x
  2. Step 2: Convert to fraction form
    22,576.22/33,538.22 = 33,538.22/x
  3. Step 3: Cross multiply
    22,576.22x = 33,538.22 × 33,538.22
  4. Step 4: Simplify right side
    22,576.22x = 1,124,812,116.92
  5. Step 5: Solve for x
    x = 1,124,812,116.92/22,576.22
  6. Step 6: Final answer
    x = 49,822.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.