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Finding the Third Proportional to 16,438.22 and 35,951.77

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Solution

The third proportional to 16,438.22 and 35,951.77 is: 78,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.22 : 35,951.77 = 35,951.77 : x
  2. Step 2: Convert to fraction form
    16,438.22/35,951.77 = 35,951.77/x
  3. Step 3: Cross multiply
    16,438.22x = 35,951.77 × 35,951.77
  4. Step 4: Simplify right side
    16,438.22x = 1,292,529,451.55
  5. Step 5: Solve for x
    x = 1,292,529,451.55/16,438.22
  6. Step 6: Final answer
    x = 78,629.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.