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Finding the Third Proportional to 30,894 and 66,162

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Solution

The third proportional to 30,894 and 66,162 is: 141,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894 : 66,162 = 66,162 : x
  2. Step 2: Convert to fraction form
    30,894/66,162 = 66,162/x
  3. Step 3: Cross multiply
    30,894x = 66,162 × 66,162
  4. Step 4: Simplify right side
    30,894x = 4,377,410,244
  5. Step 5: Solve for x
    x = 4,377,410,244/30,894
  6. Step 6: Final answer
    x = 141,691.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.