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Finding the Third Proportional to 19.54 and 47.35

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Solution

The third proportional to 19.54 and 47.35 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.54 : 47.35 = 47.35 : x
  2. Step 2: Convert to fraction form
    19.54/47.35 = 47.35/x
  3. Step 3: Cross multiply
    19.54x = 47.35 × 47.35
  4. Step 4: Simplify right side
    19.54x = 2,241.91
  5. Step 5: Solve for x
    x = 2,241.91/19.54
  6. Step 6: Final answer
    x = 114.73

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.