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Finding the Third Proportional to 4.32 and 9.60

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Solution

The third proportional to 4.32 and 9.60 is: 21.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.32 : 9.60 = 9.60 : x
  2. Step 2: Convert to fraction form
    4.32/9.60 = 9.60/x
  3. Step 3: Cross multiply
    4.32x = 9.60 × 9.60
  4. Step 4: Simplify right side
    4.32x = 92.12
  5. Step 5: Solve for x
    x = 92.12/4.32
  6. Step 6: Final answer
    x = 21.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.