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Finding the Third Proportional to 23,098 and 48,164

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Solution

The third proportional to 23,098 and 48,164 is: 100,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098 : 48,164 = 48,164 : x
  2. Step 2: Convert to fraction form
    23,098/48,164 = 48,164/x
  3. Step 3: Cross multiply
    23,098x = 48,164 × 48,164
  4. Step 4: Simplify right side
    23,098x = 2,319,770,896
  5. Step 5: Solve for x
    x = 2,319,770,896/23,098
  6. Step 6: Final answer
    x = 100,431.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.