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Finding the Third Proportional to 33,999.75 and 74,302.31

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Solution

The third proportional to 33,999.75 and 74,302.31 is: 162,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999.75 : 74,302.31 = 74,302.31 : x
  2. Step 2: Convert to fraction form
    33,999.75/74,302.31 = 74,302.31/x
  3. Step 3: Cross multiply
    33,999.75x = 74,302.31 × 74,302.31
  4. Step 4: Simplify right side
    33,999.75x = 5,520,833,642.85
  5. Step 5: Solve for x
    x = 5,520,833,642.85/33,999.75
  6. Step 6: Final answer
    x = 162,378.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.