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Finding the Third Proportional to 47,093 and 66,949

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Solution

The third proportional to 47,093 and 66,949 is: 95,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,093 : 66,949 = 66,949 : x
  2. Step 2: Convert to fraction form
    47,093/66,949 = 66,949/x
  3. Step 3: Cross multiply
    47,093x = 66,949 × 66,949
  4. Step 4: Simplify right side
    47,093x = 4,482,168,601
  5. Step 5: Solve for x
    x = 4,482,168,601/47,093
  6. Step 6: Final answer
    x = 95,176.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.