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Finding the Third Proportional to 46,994 and 73,832.25

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Solution

The third proportional to 46,994 and 73,832.25 is: 115,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,994 : 73,832.25 = 73,832.25 : x
  2. Step 2: Convert to fraction form
    46,994/73,832.25 = 73,832.25/x
  3. Step 3: Cross multiply
    46,994x = 73,832.25 × 73,832.25
  4. Step 4: Simplify right side
    46,994x = 5,451,201,140.06
  5. Step 5: Solve for x
    x = 5,451,201,140.06/46,994
  6. Step 6: Final answer
    x = 115,997.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.