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Finding the Third Proportional to 33,925 and 68,770

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Solution

The third proportional to 33,925 and 68,770 is: 139,404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,925 : 68,770 = 68,770 : x
  2. Step 2: Convert to fraction form
    33,925/68,770 = 68,770/x
  3. Step 3: Cross multiply
    33,925x = 68,770 × 68,770
  4. Step 4: Simplify right side
    33,925x = 4,729,312,900
  5. Step 5: Solve for x
    x = 4,729,312,900/33,925
  6. Step 6: Final answer
    x = 139,404.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.