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Finding the Third Proportional to 5.70 and 12.46

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Solution

The third proportional to 5.70 and 12.46 is: 27.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.70 : 12.46 = 12.46 : x
  2. Step 2: Convert to fraction form
    5.70/12.46 = 12.46/x
  3. Step 3: Cross multiply
    5.70x = 12.46 × 12.46
  4. Step 4: Simplify right side
    5.70x = 155.21
  5. Step 5: Solve for x
    x = 155.21/5.70
  6. Step 6: Final answer
    x = 27.25

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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.