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Finding the Third Proportional to 9.34 and 19.03

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Solution

The third proportional to 9.34 and 19.03 is: 38.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.34 : 19.03 = 19.03 : x
  2. Step 2: Convert to fraction form
    9.34/19.03 = 19.03/x
  3. Step 3: Cross multiply
    9.34x = 19.03 × 19.03
  4. Step 4: Simplify right side
    9.34x = 362.19
  5. Step 5: Solve for x
    x = 362.19/9.34
  6. Step 6: Final answer
    x = 38.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.