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Finding the Third Proportional to 1,945.69 and 3,094.88

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Solution

The third proportional to 1,945.69 and 3,094.88 is: 4,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.69 : 3,094.88 = 3,094.88 : x
  2. Step 2: Convert to fraction form
    1,945.69/3,094.88 = 3,094.88/x
  3. Step 3: Cross multiply
    1,945.69x = 3,094.88 × 3,094.88
  4. Step 4: Simplify right side
    1,945.69x = 9,578,251.27
  5. Step 5: Solve for x
    x = 9,578,251.27/1,945.69
  6. Step 6: Final answer
    x = 4,922.81

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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.