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Finding the Third Proportional to 12.35 and 18.46

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Solution

The third proportional to 12.35 and 18.46 is: 27.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.35 : 18.46 = 18.46 : x
  2. Step 2: Convert to fraction form
    12.35/18.46 = 18.46/x
  3. Step 3: Cross multiply
    12.35x = 18.46 × 18.46
  4. Step 4: Simplify right side
    12.35x = 340.72
  5. Step 5: Solve for x
    x = 340.72/12.35
  6. Step 6: Final answer
    x = 27.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.