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Finding the Third Proportional to 22,171.22 and 35,103.38

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Solution

The third proportional to 22,171.22 and 35,103.38 is: 55,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.22 : 35,103.38 = 35,103.38 : x
  2. Step 2: Convert to fraction form
    22,171.22/35,103.38 = 35,103.38/x
  3. Step 3: Cross multiply
    22,171.22x = 35,103.38 × 35,103.38
  4. Step 4: Simplify right side
    22,171.22x = 1,232,246,936.39
  5. Step 5: Solve for x
    x = 1,232,246,936.39/22,171.22
  6. Step 6: Final answer
    x = 55,578.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.