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Finding the Third Proportional to 33,992.63 and 74,781.38

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Solution

The third proportional to 33,992.63 and 74,781.38 is: 164,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,992.63 : 74,781.38 = 74,781.38 : x
  2. Step 2: Convert to fraction form
    33,992.63/74,781.38 = 74,781.38/x
  3. Step 3: Cross multiply
    33,992.63x = 74,781.38 × 74,781.38
  4. Step 4: Simplify right side
    33,992.63x = 5,592,254,046.89
  5. Step 5: Solve for x
    x = 5,592,254,046.89/33,992.63
  6. Step 6: Final answer
    x = 164,513.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.