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Finding the Third Proportional to 33,053.06 and 72,667.13

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Solution

The third proportional to 33,053.06 and 72,667.13 is: 159,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053.06 : 72,667.13 = 72,667.13 : x
  2. Step 2: Convert to fraction form
    33,053.06/72,667.13 = 72,667.13/x
  3. Step 3: Cross multiply
    33,053.06x = 72,667.13 × 72,667.13
  4. Step 4: Simplify right side
    33,053.06x = 5,280,511,055.77
  5. Step 5: Solve for x
    x = 5,280,511,055.77/33,053.06
  6. Step 6: Final answer
    x = 159,758.60

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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.