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Finding the Third Proportional to 13.70 and 26.94

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Solution

The third proportional to 13.70 and 26.94 is: 52.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.70 : 26.94 = 26.94 : x
  2. Step 2: Convert to fraction form
    13.70/26.94 = 26.94/x
  3. Step 3: Cross multiply
    13.70x = 26.94 × 26.94
  4. Step 4: Simplify right side
    13.70x = 725.90
  5. Step 5: Solve for x
    x = 725.90/13.70
  6. Step 6: Final answer
    x = 52.99

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.