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Finding the Third Proportional to 943.03 and 1,949.06

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Solution

The third proportional to 943.03 and 1,949.06 is: 4,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.03 : 1,949.06 = 1,949.06 : x
  2. Step 2: Convert to fraction form
    943.03/1,949.06 = 1,949.06/x
  3. Step 3: Cross multiply
    943.03x = 1,949.06 × 1,949.06
  4. Step 4: Simplify right side
    943.03x = 3,798,844.63
  5. Step 5: Solve for x
    x = 3,798,844.63/943.03
  6. Step 6: Final answer
    x = 4,028.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.