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Finding the Third Proportional to 1,110.27 and 2,391.40

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Solution

The third proportional to 1,110.27 and 2,391.40 is: 5,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.27 : 2,391.40 = 2,391.40 : x
  2. Step 2: Convert to fraction form
    1,110.27/2,391.40 = 2,391.40/x
  3. Step 3: Cross multiply
    1,110.27x = 2,391.40 × 2,391.40
  4. Step 4: Simplify right side
    1,110.27x = 5,718,786.49
  5. Step 5: Solve for x
    x = 5,718,786.49/1,110.27
  6. Step 6: Final answer
    x = 5,150.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.