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Finding the Third Proportional to 33,108 and 46,312

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Solution

The third proportional to 33,108 and 46,312 is: 64,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,108 : 46,312 = 46,312 : x
  2. Step 2: Convert to fraction form
    33,108/46,312 = 46,312/x
  3. Step 3: Cross multiply
    33,108x = 46,312 × 46,312
  4. Step 4: Simplify right side
    33,108x = 2,144,801,344
  5. Step 5: Solve for x
    x = 2,144,801,344/33,108
  6. Step 6: Final answer
    x = 64,781.97

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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.