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Finding the Third Proportional to 33,412 and 46,999

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Solution

The third proportional to 33,412 and 46,999 is: 66,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412 : 46,999 = 46,999 : x
  2. Step 2: Convert to fraction form
    33,412/46,999 = 46,999/x
  3. Step 3: Cross multiply
    33,412x = 46,999 × 46,999
  4. Step 4: Simplify right side
    33,412x = 2,208,906,001
  5. Step 5: Solve for x
    x = 2,208,906,001/33,412
  6. Step 6: Final answer
    x = 66,111.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.