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Finding the Third Proportional to 435.66 and 965.25

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Solution

The third proportional to 435.66 and 965.25 is: 2,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.66 : 965.25 = 965.25 : x
  2. Step 2: Convert to fraction form
    435.66/965.25 = 965.25/x
  3. Step 3: Cross multiply
    435.66x = 965.25 × 965.25
  4. Step 4: Simplify right side
    435.66x = 931,707.56
  5. Step 5: Solve for x
    x = 931,707.56/435.66
  6. Step 6: Final answer
    x = 2,138.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.