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Finding the Third Proportional to 13.50 and 18.98

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Solution

The third proportional to 13.50 and 18.98 is: 26.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.50 : 18.98 = 18.98 : x
  2. Step 2: Convert to fraction form
    13.50/18.98 = 18.98/x
  3. Step 3: Cross multiply
    13.50x = 18.98 × 18.98
  4. Step 4: Simplify right side
    13.50x = 360.41
  5. Step 5: Solve for x
    x = 360.41/13.50
  6. Step 6: Final answer
    x = 26.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.