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Finding the Third Proportional to 33,400 and 46,696

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Solution

The third proportional to 33,400 and 46,696 is: 65,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400 : 46,696 = 46,696 : x
  2. Step 2: Convert to fraction form
    33,400/46,696 = 46,696/x
  3. Step 3: Cross multiply
    33,400x = 46,696 × 46,696
  4. Step 4: Simplify right side
    33,400x = 2,180,516,416
  5. Step 5: Solve for x
    x = 2,180,516,416/33,400
  6. Step 6: Final answer
    x = 65,284.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.