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Finding the Third Proportional to 24,702 and 48,162

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Solution

The third proportional to 24,702 and 48,162 is: 93,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702 : 48,162 = 48,162 : x
  2. Step 2: Convert to fraction form
    24,702/48,162 = 48,162/x
  3. Step 3: Cross multiply
    24,702x = 48,162 × 48,162
  4. Step 4: Simplify right side
    24,702x = 2,319,578,244
  5. Step 5: Solve for x
    x = 2,319,578,244/24,702
  6. Step 6: Final answer
    x = 93,902.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.