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Finding the Third Proportional to 54,033.75 and 79,651.69

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Solution

The third proportional to 54,033.75 and 79,651.69 is: 117,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,033.75 : 79,651.69 = 79,651.69 : x
  2. Step 2: Convert to fraction form
    54,033.75/79,651.69 = 79,651.69/x
  3. Step 3: Cross multiply
    54,033.75x = 79,651.69 × 79,651.69
  4. Step 4: Simplify right side
    54,033.75x = 6,344,391,321.60
  5. Step 5: Solve for x
    x = 6,344,391,321.60/54,033.75
  6. Step 6: Final answer
    x = 117,415.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.