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Finding the Third Proportional to 839.06 and 1,950.56

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Solution

The third proportional to 839.06 and 1,950.56 is: 4,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.06 : 1,950.56 = 1,950.56 : x
  2. Step 2: Convert to fraction form
    839.06/1,950.56 = 1,950.56/x
  3. Step 3: Cross multiply
    839.06x = 1,950.56 × 1,950.56
  4. Step 4: Simplify right side
    839.06x = 3,804,694.07
  5. Step 5: Solve for x
    x = 3,804,694.07/839.06
  6. Step 6: Final answer
    x = 4,534.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.