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Finding the Third Proportional to 2.14 and 4.52

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Solution

The third proportional to 2.14 and 4.52 is: 9.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.14 : 4.52 = 4.52 : x
  2. Step 2: Convert to fraction form
    2.14/4.52 = 4.52/x
  3. Step 3: Cross multiply
    2.14x = 4.52 × 4.52
  4. Step 4: Simplify right side
    2.14x = 20.39
  5. Step 5: Solve for x
    x = 20.39/2.14
  6. Step 6: Final answer
    x = 9.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.