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Finding the Third Proportional to 1,143.33 and 2,376.37

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Solution

The third proportional to 1,143.33 and 2,376.37 is: 4,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.33 : 2,376.37 = 2,376.37 : x
  2. Step 2: Convert to fraction form
    1,143.33/2,376.37 = 2,376.37/x
  3. Step 3: Cross multiply
    1,143.33x = 2,376.37 × 2,376.37
  4. Step 4: Simplify right side
    1,143.33x = 5,647,130.29
  5. Step 5: Solve for x
    x = 5,647,130.29/1,143.33
  6. Step 6: Final answer
    x = 4,939.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.