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Finding the Third Proportional to 1,189.22 and 1,893.91

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Solution

The third proportional to 1,189.22 and 1,893.91 is: 3,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.22 : 1,893.91 = 1,893.91 : x
  2. Step 2: Convert to fraction form
    1,189.22/1,893.91 = 1,893.91/x
  3. Step 3: Cross multiply
    1,189.22x = 1,893.91 × 1,893.91
  4. Step 4: Simplify right side
    1,189.22x = 3,586,880.88
  5. Step 5: Solve for x
    x = 3,586,880.88/1,189.22
  6. Step 6: Final answer
    x = 3,016.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.