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Finding the Third Proportional to 9.84 and 15.33

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Solution

The third proportional to 9.84 and 15.33 is: 23.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.84 : 15.33 = 15.33 : x
  2. Step 2: Convert to fraction form
    9.84/15.33 = 15.33/x
  3. Step 3: Cross multiply
    9.84x = 15.33 × 15.33
  4. Step 4: Simplify right side
    9.84x = 234.95
  5. Step 5: Solve for x
    x = 234.95/9.84
  6. Step 6: Final answer
    x = 23.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.