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Finding the Third Proportional to 5.94 and 10.90

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Solution

The third proportional to 5.94 and 10.90 is: 19.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.94 : 10.90 = 10.90 : x
  2. Step 2: Convert to fraction form
    5.94/10.90 = 10.90/x
  3. Step 3: Cross multiply
    5.94x = 10.90 × 10.90
  4. Step 4: Simplify right side
    5.94x = 118.75
  5. Step 5: Solve for x
    x = 118.75/5.94
  6. Step 6: Final answer
    x = 19.98

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.