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Finding the Third Proportional to 22,530 and 44,460

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Solution

The third proportional to 22,530 and 44,460 is: 87,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530 : 44,460 = 44,460 : x
  2. Step 2: Convert to fraction form
    22,530/44,460 = 44,460/x
  3. Step 3: Cross multiply
    22,530x = 44,460 × 44,460
  4. Step 4: Simplify right side
    22,530x = 1,976,691,600
  5. Step 5: Solve for x
    x = 1,976,691,600/22,530
  6. Step 6: Final answer
    x = 87,735.98

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.