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Finding the Third Proportional to 36,533.25 and 79,764.75

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Solution

The third proportional to 36,533.25 and 79,764.75 is: 174,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,533.25 : 79,764.75 = 79,764.75 : x
  2. Step 2: Convert to fraction form
    36,533.25/79,764.75 = 79,764.75/x
  3. Step 3: Cross multiply
    36,533.25x = 79,764.75 × 79,764.75
  4. Step 4: Simplify right side
    36,533.25x = 6,362,415,342.56
  5. Step 5: Solve for x
    x = 6,362,415,342.56/36,533.25
  6. Step 6: Final answer
    x = 174,154.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.