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Finding the Third Proportional to 3.83 and 8.64

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Solution

The third proportional to 3.83 and 8.64 is: 19.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.83 : 8.64 = 8.64 : x
  2. Step 2: Convert to fraction form
    3.83/8.64 = 8.64/x
  3. Step 3: Cross multiply
    3.83x = 8.64 × 8.64
  4. Step 4: Simplify right side
    3.83x = 74.71
  5. Step 5: Solve for x
    x = 74.71/3.83
  6. Step 6: Final answer
    x = 19.52

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.