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Finding the Third Proportional to 9.69 and 15.50

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Solution

The third proportional to 9.69 and 15.50 is: 24.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.69 : 15.50 = 15.50 : x
  2. Step 2: Convert to fraction form
    9.69/15.50 = 15.50/x
  3. Step 3: Cross multiply
    9.69x = 15.50 × 15.50
  4. Step 4: Simplify right side
    9.69x = 240.25
  5. Step 5: Solve for x
    x = 240.25/9.69
  6. Step 6: Final answer
    x = 24.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.