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Finding the Third Proportional to 33,339.94 and 72,208.13

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Solution

The third proportional to 33,339.94 and 72,208.13 is: 156,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,339.94 : 72,208.13 = 72,208.13 : x
  2. Step 2: Convert to fraction form
    33,339.94/72,208.13 = 72,208.13/x
  3. Step 3: Cross multiply
    33,339.94x = 72,208.13 × 72,208.13
  4. Step 4: Simplify right side
    33,339.94x = 5,214,013,316.02
  5. Step 5: Solve for x
    x = 5,214,013,316.02/33,339.94
  6. Step 6: Final answer
    x = 156,389.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.