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Finding the Third Proportional to 16,503.75 and 33,589.69

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Solution

The third proportional to 16,503.75 and 33,589.69 is: 68,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.75 : 33,589.69 = 33,589.69 : x
  2. Step 2: Convert to fraction form
    16,503.75/33,589.69 = 33,589.69/x
  3. Step 3: Cross multiply
    16,503.75x = 33,589.69 × 33,589.69
  4. Step 4: Simplify right side
    16,503.75x = 1,128,267,106.35
  5. Step 5: Solve for x
    x = 1,128,267,106.35/16,503.75
  6. Step 6: Final answer
    x = 68,364.29

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.