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Finding the Third Proportional to 33,716 and 69,610

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Solution

The third proportional to 33,716 and 69,610 is: 143,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,716 : 69,610 = 69,610 : x
  2. Step 2: Convert to fraction form
    33,716/69,610 = 69,610/x
  3. Step 3: Cross multiply
    33,716x = 69,610 × 69,610
  4. Step 4: Simplify right side
    33,716x = 4,845,552,100
  5. Step 5: Solve for x
    x = 4,845,552,100/33,716
  6. Step 6: Final answer
    x = 143,716.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.