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Finding the Third Proportional to 33,334.03 and 72,894.94

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Solution

The third proportional to 33,334.03 and 72,894.94 is: 159,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,334.03 : 72,894.94 = 72,894.94 : x
  2. Step 2: Convert to fraction form
    33,334.03/72,894.94 = 72,894.94/x
  3. Step 3: Cross multiply
    33,334.03x = 72,894.94 × 72,894.94
  4. Step 4: Simplify right side
    33,334.03x = 5,313,671,913.13
  5. Step 5: Solve for x
    x = 5,313,671,913.13/33,334.03
  6. Step 6: Final answer
    x = 159,406.82

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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.