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Finding the Third Proportional to 1,194.12 and 1,844.33

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Solution

The third proportional to 1,194.12 and 1,844.33 is: 2,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.12 : 1,844.33 = 1,844.33 : x
  2. Step 2: Convert to fraction form
    1,194.12/1,844.33 = 1,844.33/x
  3. Step 3: Cross multiply
    1,194.12x = 1,844.33 × 1,844.33
  4. Step 4: Simplify right side
    1,194.12x = 3,401,560.64
  5. Step 5: Solve for x
    x = 3,401,560.64/1,194.12
  6. Step 6: Final answer
    x = 2,848.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.