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Finding the Third Proportional to 12.19 and 19.03

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Solution

The third proportional to 12.19 and 19.03 is: 29.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.19 : 19.03 = 19.03 : x
  2. Step 2: Convert to fraction form
    12.19/19.03 = 19.03/x
  3. Step 3: Cross multiply
    12.19x = 19.03 × 19.03
  4. Step 4: Simplify right side
    12.19x = 362.19
  5. Step 5: Solve for x
    x = 362.19/12.19
  6. Step 6: Final answer
    x = 29.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.