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Finding the Third Proportional to 49,206.13 and 73,796.39

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Solution

The third proportional to 49,206.13 and 73,796.39 is: 110,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,206.13 : 73,796.39 = 73,796.39 : x
  2. Step 2: Convert to fraction form
    49,206.13/73,796.39 = 73,796.39/x
  3. Step 3: Cross multiply
    49,206.13x = 73,796.39 × 73,796.39
  4. Step 4: Simplify right side
    49,206.13x = 5,445,907,269.28
  5. Step 5: Solve for x
    x = 5,445,907,269.28/49,206.13
  6. Step 6: Final answer
    x = 110,675.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.