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Finding the Third Proportional to 10.22 and 12.98

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Solution

The third proportional to 10.22 and 12.98 is: 16.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.22 : 12.98 = 12.98 : x
  2. Step 2: Convert to fraction form
    10.22/12.98 = 12.98/x
  3. Step 3: Cross multiply
    10.22x = 12.98 × 12.98
  4. Step 4: Simplify right side
    10.22x = 168.59
  5. Step 5: Solve for x
    x = 168.59/10.22
  6. Step 6: Final answer
    x = 16.50

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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.