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Finding the Third Proportional to 16,741.75 and 35,206.75

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Solution

The third proportional to 16,741.75 and 35,206.75 is: 74,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,741.75 : 35,206.75 = 35,206.75 : x
  2. Step 2: Convert to fraction form
    16,741.75/35,206.75 = 35,206.75/x
  3. Step 3: Cross multiply
    16,741.75x = 35,206.75 × 35,206.75
  4. Step 4: Simplify right side
    16,741.75x = 1,239,515,245.56
  5. Step 5: Solve for x
    x = 1,239,515,245.56/16,741.75
  6. Step 6: Final answer
    x = 74,037.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.