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Finding the Third Proportional to 9.69 and 14.94

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Solution

The third proportional to 9.69 and 14.94 is: 23.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.69 : 14.94 = 14.94 : x
  2. Step 2: Convert to fraction form
    9.69/14.94 = 14.94/x
  3. Step 3: Cross multiply
    9.69x = 14.94 × 14.94
  4. Step 4: Simplify right side
    9.69x = 223.13
  5. Step 5: Solve for x
    x = 223.13/9.69
  6. Step 6: Final answer
    x = 23.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.