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Finding the Third Proportional to 6.94 and 9.98

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Solution

The third proportional to 6.94 and 9.98 is: 14.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.94 : 9.98 = 9.98 : x
  2. Step 2: Convert to fraction form
    6.94/9.98 = 9.98/x
  3. Step 3: Cross multiply
    6.94x = 9.98 × 9.98
  4. Step 4: Simplify right side
    6.94x = 99.69
  5. Step 5: Solve for x
    x = 99.69/6.94
  6. Step 6: Final answer
    x = 14.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.