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Finding the Third Proportional to 33,104 and 46,307

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Solution

The third proportional to 33,104 and 46,307 is: 64,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,104 : 46,307 = 46,307 : x
  2. Step 2: Convert to fraction form
    33,104/46,307 = 46,307/x
  3. Step 3: Cross multiply
    33,104x = 46,307 × 46,307
  4. Step 4: Simplify right side
    33,104x = 2,144,338,249
  5. Step 5: Solve for x
    x = 2,144,338,249/33,104
  6. Step 6: Final answer
    x = 64,775.81

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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.