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Finding the Third Proportional to 965.94 and 1,453.44

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Solution

The third proportional to 965.94 and 1,453.44 is: 2,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.94 : 1,453.44 = 1,453.44 : x
  2. Step 2: Convert to fraction form
    965.94/1,453.44 = 1,453.44/x
  3. Step 3: Cross multiply
    965.94x = 1,453.44 × 1,453.44
  4. Step 4: Simplify right side
    965.94x = 2,112,480.57
  5. Step 5: Solve for x
    x = 2,112,480.57/965.94
  6. Step 6: Final answer
    x = 2,186.97

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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.