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Finding the Third Proportional to 19.35 and 29.33

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Solution

The third proportional to 19.35 and 29.33 is: 44.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.35 : 29.33 = 29.33 : x
  2. Step 2: Convert to fraction form
    19.35/29.33 = 29.33/x
  3. Step 3: Cross multiply
    19.35x = 29.33 × 29.33
  4. Step 4: Simplify right side
    19.35x = 859.96
  5. Step 5: Solve for x
    x = 859.96/19.35
  6. Step 6: Final answer
    x = 44.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.