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Finding the Third Proportional to 2.71 and 5.32

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Solution

The third proportional to 2.71 and 5.32 is: 10.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.71 : 5.32 = 5.32 : x
  2. Step 2: Convert to fraction form
    2.71/5.32 = 5.32/x
  3. Step 3: Cross multiply
    2.71x = 5.32 × 5.32
  4. Step 4: Simplify right side
    2.71x = 28.32
  5. Step 5: Solve for x
    x = 28.32/2.71
  6. Step 6: Final answer
    x = 10.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.