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Finding the Third Proportional to 839.44 and 1,838.06

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Solution

The third proportional to 839.44 and 1,838.06 is: 4,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.44 : 1,838.06 = 1,838.06 : x
  2. Step 2: Convert to fraction form
    839.44/1,838.06 = 1,838.06/x
  3. Step 3: Cross multiply
    839.44x = 1,838.06 × 1,838.06
  4. Step 4: Simplify right side
    839.44x = 3,378,473.75
  5. Step 5: Solve for x
    x = 3,378,473.75/839.44
  6. Step 6: Final answer
    x = 4,024.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.