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Finding the Third Proportional to 1,293.26 and 1,939.99

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Solution

The third proportional to 1,293.26 and 1,939.99 is: 2,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.26 : 1,939.99 = 1,939.99 : x
  2. Step 2: Convert to fraction form
    1,293.26/1,939.99 = 1,939.99/x
  3. Step 3: Cross multiply
    1,293.26x = 1,939.99 × 1,939.99
  4. Step 4: Simplify right side
    1,293.26x = 3,763,569.69
  5. Step 5: Solve for x
    x = 3,763,569.69/1,293.26
  6. Step 6: Final answer
    x = 2,910.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.