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Finding the Third Proportional to 10.84 and 13.75

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Solution

The third proportional to 10.84 and 13.75 is: 17.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.84 : 13.75 = 13.75 : x
  2. Step 2: Convert to fraction form
    10.84/13.75 = 13.75/x
  3. Step 3: Cross multiply
    10.84x = 13.75 × 13.75
  4. Step 4: Simplify right side
    10.84x = 189.06
  5. Step 5: Solve for x
    x = 189.06/10.84
  6. Step 6: Final answer
    x = 17.44

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.