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Finding the Third Proportional to 16,433.63 and 35,994

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Solution

The third proportional to 16,433.63 and 35,994 is: 78,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.63 : 35,994 = 35,994 : x
  2. Step 2: Convert to fraction form
    16,433.63/35,994 = 35,994/x
  3. Step 3: Cross multiply
    16,433.63x = 35,994 × 35,994
  4. Step 4: Simplify right side
    16,433.63x = 1,295,568,036
  5. Step 5: Solve for x
    x = 1,295,568,036/16,433.63
  6. Step 6: Final answer
    x = 78,836.41

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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.