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Finding the Third Proportional to 12.33 and 19.01

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Solution

The third proportional to 12.33 and 19.01 is: 29.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.33 : 19.01 = 19.01 : x
  2. Step 2: Convert to fraction form
    12.33/19.01 = 19.01/x
  3. Step 3: Cross multiply
    12.33x = 19.01 × 19.01
  4. Step 4: Simplify right side
    12.33x = 361.41
  5. Step 5: Solve for x
    x = 361.41/12.33
  6. Step 6: Final answer
    x = 29.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.