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Finding the Third Proportional to 1,295.44 and 1,940.06

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Solution

The third proportional to 1,295.44 and 1,940.06 is: 2,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.44 : 1,940.06 = 1,940.06 : x
  2. Step 2: Convert to fraction form
    1,295.44/1,940.06 = 1,940.06/x
  3. Step 3: Cross multiply
    1,295.44x = 1,940.06 × 1,940.06
  4. Step 4: Simplify right side
    1,295.44x = 3,763,842.50
  5. Step 5: Solve for x
    x = 3,763,842.50/1,295.44
  6. Step 6: Final answer
    x = 2,905.46

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Why These Related Problems?

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