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Finding the Third Proportional to 33,053.44 and 67,866.94

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Solution

The third proportional to 33,053.44 and 67,866.94 is: 139,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053.44 : 67,866.94 = 67,866.94 : x
  2. Step 2: Convert to fraction form
    33,053.44/67,866.94 = 67,866.94/x
  3. Step 3: Cross multiply
    33,053.44x = 67,866.94 × 67,866.94
  4. Step 4: Simplify right side
    33,053.44x = 4,605,921,205.63
  5. Step 5: Solve for x
    x = 4,605,921,205.63/33,053.44
  6. Step 6: Final answer
    x = 139,347.72

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.