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Finding the Third Proportional to 1,939.25 and 3,084.01

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Solution

The third proportional to 1,939.25 and 3,084.01 is: 4,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.25 : 3,084.01 = 3,084.01 : x
  2. Step 2: Convert to fraction form
    1,939.25/3,084.01 = 3,084.01/x
  3. Step 3: Cross multiply
    1,939.25x = 3,084.01 × 3,084.01
  4. Step 4: Simplify right side
    1,939.25x = 9,511,128.28
  5. Step 5: Solve for x
    x = 9,511,128.28/1,939.25
  6. Step 6: Final answer
    x = 4,904.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.