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Finding the Third Proportional to 2,141.44 and 4,955.34

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Solution

The third proportional to 2,141.44 and 4,955.34 is: 11,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.44 : 4,955.34 = 4,955.34 : x
  2. Step 2: Convert to fraction form
    2,141.44/4,955.34 = 4,955.34/x
  3. Step 3: Cross multiply
    2,141.44x = 4,955.34 × 4,955.34
  4. Step 4: Simplify right side
    2,141.44x = 24,555,431.68
  5. Step 5: Solve for x
    x = 24,555,431.68/2,141.44
  6. Step 6: Final answer
    x = 11,466.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.