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Finding the Third Proportional to 33,918 and 70,860

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Solution

The third proportional to 33,918 and 70,860 is: 148,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,918 : 70,860 = 70,860 : x
  2. Step 2: Convert to fraction form
    33,918/70,860 = 70,860/x
  3. Step 3: Cross multiply
    33,918x = 70,860 × 70,860
  4. Step 4: Simplify right side
    33,918x = 5,021,139,600
  5. Step 5: Solve for x
    x = 5,021,139,600/33,918
  6. Step 6: Final answer
    x = 148,037.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.