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Finding the Third Proportional to 22,702 and 35,234

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Solution

The third proportional to 22,702 and 35,234 is: 54,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702 : 35,234 = 35,234 : x
  2. Step 2: Convert to fraction form
    22,702/35,234 = 35,234/x
  3. Step 3: Cross multiply
    22,702x = 35,234 × 35,234
  4. Step 4: Simplify right side
    22,702x = 1,241,434,756
  5. Step 5: Solve for x
    x = 1,241,434,756/22,702
  6. Step 6: Final answer
    x = 54,683.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.