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Finding the Third Proportional to 33,588 and 46,992

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Solution

The third proportional to 33,588 and 46,992 is: 65,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,588 : 46,992 = 46,992 : x
  2. Step 2: Convert to fraction form
    33,588/46,992 = 46,992/x
  3. Step 3: Cross multiply
    33,588x = 46,992 × 46,992
  4. Step 4: Simplify right side
    33,588x = 2,208,248,064
  5. Step 5: Solve for x
    x = 2,208,248,064/33,588
  6. Step 6: Final answer
    x = 65,745.15

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