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Finding the Third Proportional to 33,999.75 and 72,923.63

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Solution

The third proportional to 33,999.75 and 72,923.63 is: 156,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999.75 : 72,923.63 = 72,923.63 : x
  2. Step 2: Convert to fraction form
    33,999.75/72,923.63 = 72,923.63/x
  3. Step 3: Cross multiply
    33,999.75x = 72,923.63 × 72,923.63
  4. Step 4: Simplify right side
    33,999.75x = 5,317,855,083.14
  5. Step 5: Solve for x
    x = 5,317,855,083.14/33,999.75
  6. Step 6: Final answer
    x = 156,408.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.