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Finding the Third Proportional to 9.56 and 16.84

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Solution

The third proportional to 9.56 and 16.84 is: 29.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.56 : 16.84 = 16.84 : x
  2. Step 2: Convert to fraction form
    9.56/16.84 = 16.84/x
  3. Step 3: Cross multiply
    9.56x = 16.84 × 16.84
  4. Step 4: Simplify right side
    9.56x = 283.58
  5. Step 5: Solve for x
    x = 283.58/9.56
  6. Step 6: Final answer
    x = 29.66

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.