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Finding the Third Proportional to 2.14 and 2.32

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Solution

The third proportional to 2.14 and 2.32 is: 2.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.14 : 2.32 = 2.32 : x
  2. Step 2: Convert to fraction form
    2.14/2.32 = 2.32/x
  3. Step 3: Cross multiply
    2.14x = 2.32 × 2.32
  4. Step 4: Simplify right side
    2.14x = 5.38
  5. Step 5: Solve for x
    x = 5.38/2.14
  6. Step 6: Final answer
    x = 2.51

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.