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Finding the Third Proportional to 16,003.83 and 23,054.06

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Solution

The third proportional to 16,003.83 and 23,054.06 is: 33,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.83 : 23,054.06 = 23,054.06 : x
  2. Step 2: Convert to fraction form
    16,003.83/23,054.06 = 23,054.06/x
  3. Step 3: Cross multiply
    16,003.83x = 23,054.06 × 23,054.06
  4. Step 4: Simplify right side
    16,003.83x = 531,489,797.75
  5. Step 5: Solve for x
    x = 531,489,797.75/16,003.83
  6. Step 6: Final answer
    x = 33,210.17

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.