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Finding the Third Proportional to 965.36 and 1,380.22

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Solution

The third proportional to 965.36 and 1,380.22 is: 1,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.36 : 1,380.22 = 1,380.22 : x
  2. Step 2: Convert to fraction form
    965.36/1,380.22 = 1,380.22/x
  3. Step 3: Cross multiply
    965.36x = 1,380.22 × 1,380.22
  4. Step 4: Simplify right side
    965.36x = 1,905,016.60
  5. Step 5: Solve for x
    x = 1,905,016.60/965.36
  6. Step 6: Final answer
    x = 1,973.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.