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Finding the Third Proportional to 962.44 and 2,270.81

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Solution

The third proportional to 962.44 and 2,270.81 is: 5,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.44 : 2,270.81 = 2,270.81 : x
  2. Step 2: Convert to fraction form
    962.44/2,270.81 = 2,270.81/x
  3. Step 3: Cross multiply
    962.44x = 2,270.81 × 2,270.81
  4. Step 4: Simplify right side
    962.44x = 5,156,589.41
  5. Step 5: Solve for x
    x = 5,156,589.41/962.44
  6. Step 6: Final answer
    x = 5,357.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.