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Finding the Third Proportional to 19.34 and 45.44

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Solution

The third proportional to 19.34 and 45.44 is: 106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.34 : 45.44 = 45.44 : x
  2. Step 2: Convert to fraction form
    19.34/45.44 = 45.44/x
  3. Step 3: Cross multiply
    19.34x = 45.44 × 45.44
  4. Step 4: Simplify right side
    19.34x = 2,064.57
  5. Step 5: Solve for x
    x = 2,064.57/19.34
  6. Step 6: Final answer
    x = 106.73

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.