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Finding the Third Proportional to 36,314.25 and 55,014.75

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Solution

The third proportional to 36,314.25 and 55,014.75 is: 83,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,314.25 : 55,014.75 = 55,014.75 : x
  2. Step 2: Convert to fraction form
    36,314.25/55,014.75 = 55,014.75/x
  3. Step 3: Cross multiply
    36,314.25x = 55,014.75 × 55,014.75
  4. Step 4: Simplify right side
    36,314.25x = 3,026,622,717.56
  5. Step 5: Solve for x
    x = 3,026,622,717.56/36,314.25
  6. Step 6: Final answer
    x = 83,345.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.