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Finding the Third Proportional to 16,404.75 and 35,816.63

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Solution

The third proportional to 16,404.75 and 35,816.63 is: 78,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.75 : 35,816.63 = 35,816.63 : x
  2. Step 2: Convert to fraction form
    16,404.75/35,816.63 = 35,816.63/x
  3. Step 3: Cross multiply
    16,404.75x = 35,816.63 × 35,816.63
  4. Step 4: Simplify right side
    16,404.75x = 1,282,830,626.39
  5. Step 5: Solve for x
    x = 1,282,830,626.39/16,404.75
  6. Step 6: Final answer
    x = 78,198.73

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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.