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Finding the Third Proportional to 33,859.13 and 72,921.38

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Solution

The third proportional to 33,859.13 and 72,921.38 is: 157,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,859.13 : 72,921.38 = 72,921.38 : x
  2. Step 2: Convert to fraction form
    33,859.13/72,921.38 = 72,921.38/x
  3. Step 3: Cross multiply
    33,859.13x = 72,921.38 × 72,921.38
  4. Step 4: Simplify right side
    33,859.13x = 5,317,526,931.89
  5. Step 5: Solve for x
    x = 5,317,526,931.89/33,859.13
  6. Step 6: Final answer
    x = 157,048.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.