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Finding the Third Proportional to 16,231.64 and 35,440.03

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Solution

The third proportional to 16,231.64 and 35,440.03 is: 77,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.64 : 35,440.03 = 35,440.03 : x
  2. Step 2: Convert to fraction form
    16,231.64/35,440.03 = 35,440.03/x
  3. Step 3: Cross multiply
    16,231.64x = 35,440.03 × 35,440.03
  4. Step 4: Simplify right side
    16,231.64x = 1,255,995,815.00
  5. Step 5: Solve for x
    x = 1,255,995,815.00/16,231.64
  6. Step 6: Final answer
    x = 77,379.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.