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Finding the Third Proportional to 1,193.88 and 1,736.36

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Solution

The third proportional to 1,193.88 and 1,736.36 is: 2,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.88 : 1,736.36 = 1,736.36 : x
  2. Step 2: Convert to fraction form
    1,193.88/1,736.36 = 1,736.36/x
  3. Step 3: Cross multiply
    1,193.88x = 1,736.36 × 1,736.36
  4. Step 4: Simplify right side
    1,193.88x = 3,014,940.49
  5. Step 5: Solve for x
    x = 3,014,940.49/1,193.88
  6. Step 6: Final answer
    x = 2,525.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.