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Finding the Third Proportional to 0.47 and 2.14

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Solution

The third proportional to 0.47 and 2.14 is: 9.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.47 : 2.14 = 2.14 : x
  2. Step 2: Convert to fraction form
    0.47/2.14 = 2.14/x
  3. Step 3: Cross multiply
    0.47x = 2.14 × 2.14
  4. Step 4: Simplify right side
    0.47x = 4.56
  5. Step 5: Solve for x
    x = 4.56/0.47
  6. Step 6: Final answer
    x = 9.61

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Why These Related Problems?

These problems maintain the same ratio (4.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.