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Finding the Third Proportional to 1,293.47 and 1,940.20

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Solution

The third proportional to 1,293.47 and 1,940.20 is: 2,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.47 : 1,940.20 = 1,940.20 : x
  2. Step 2: Convert to fraction form
    1,293.47/1,940.20 = 1,940.20/x
  3. Step 3: Cross multiply
    1,293.47x = 1,940.20 × 1,940.20
  4. Step 4: Simplify right side
    1,293.47x = 3,764,388.17
  5. Step 5: Solve for x
    x = 3,764,388.17/1,293.47
  6. Step 6: Final answer
    x = 2,910.30

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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.