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Finding the Third Proportional to 3.64 and 5.32

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Solution

The third proportional to 3.64 and 5.32 is: 7.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.64 : 5.32 = 5.32 : x
  2. Step 2: Convert to fraction form
    3.64/5.32 = 5.32/x
  3. Step 3: Cross multiply
    3.64x = 5.32 × 5.32
  4. Step 4: Simplify right side
    3.64x = 28.28
  5. Step 5: Solve for x
    x = 28.28/3.64
  6. Step 6: Final answer
    x = 7.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.