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Finding the Third Proportional to 33,998.06 and 39,303.56

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Solution

The third proportional to 33,998.06 and 39,303.56 is: 45,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,998.06 : 39,303.56 = 39,303.56 : x
  2. Step 2: Convert to fraction form
    33,998.06/39,303.56 = 39,303.56/x
  3. Step 3: Cross multiply
    33,998.06x = 39,303.56 × 39,303.56
  4. Step 4: Simplify right side
    33,998.06x = 1,544,770,025.19
  5. Step 5: Solve for x
    x = 1,544,770,025.19/33,998.06
  6. Step 6: Final answer
    x = 45,437.00

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.