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Finding the Third Proportional to 16,768.69 and 35,533.69

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Solution

The third proportional to 16,768.69 and 35,533.69 is: 75,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.69 : 35,533.69 = 35,533.69 : x
  2. Step 2: Convert to fraction form
    16,768.69/35,533.69 = 35,533.69/x
  3. Step 3: Cross multiply
    16,768.69x = 35,533.69 × 35,533.69
  4. Step 4: Simplify right side
    16,768.69x = 1,262,642,947.35
  5. Step 5: Solve for x
    x = 1,262,642,947.35/16,768.69
  6. Step 6: Final answer
    x = 75,297.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.