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Finding the Third Proportional to 2.14 and 4.67

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Solution

The third proportional to 2.14 and 4.67 is: 10.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.14 : 4.67 = 4.67 : x
  2. Step 2: Convert to fraction form
    2.14/4.67 = 4.67/x
  3. Step 3: Cross multiply
    2.14x = 4.67 × 4.67
  4. Step 4: Simplify right side
    2.14x = 21.78
  5. Step 5: Solve for x
    x = 21.78/2.14
  6. Step 6: Final answer
    x = 10.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.