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Finding the Third Proportional to 1,949.06 and 3,076.31

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Solution

The third proportional to 1,949.06 and 3,076.31 is: 4,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.06 : 3,076.31 = 3,076.31 : x
  2. Step 2: Convert to fraction form
    1,949.06/3,076.31 = 3,076.31/x
  3. Step 3: Cross multiply
    1,949.06x = 3,076.31 × 3,076.31
  4. Step 4: Simplify right side
    1,949.06x = 9,463,698.60
  5. Step 5: Solve for x
    x = 9,463,698.60/1,949.06
  6. Step 6: Final answer
    x = 4,855.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.