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Finding the Third Proportional to 33,916 and 70,856

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Solution

The third proportional to 33,916 and 70,856 is: 148,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,916 : 70,856 = 70,856 : x
  2. Step 2: Convert to fraction form
    33,916/70,856 = 70,856/x
  3. Step 3: Cross multiply
    33,916x = 70,856 × 70,856
  4. Step 4: Simplify right side
    33,916x = 5,020,572,736
  5. Step 5: Solve for x
    x = 5,020,572,736/33,916
  6. Step 6: Final answer
    x = 148,029.62

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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.