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Finding the Third Proportional to 13.31 and 27.94

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Solution

The third proportional to 13.31 and 27.94 is: 58.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.31 : 27.94 = 27.94 : x
  2. Step 2: Convert to fraction form
    13.31/27.94 = 27.94/x
  3. Step 3: Cross multiply
    13.31x = 27.94 × 27.94
  4. Step 4: Simplify right side
    13.31x = 780.50
  5. Step 5: Solve for x
    x = 780.50/13.31
  6. Step 6: Final answer
    x = 58.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.