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Finding the Third Proportional to 19.55 and 29.32

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Solution

The third proportional to 19.55 and 29.32 is: 43.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.55 : 29.32 = 29.32 : x
  2. Step 2: Convert to fraction form
    19.55/29.32 = 29.32/x
  3. Step 3: Cross multiply
    19.55x = 29.32 × 29.32
  4. Step 4: Simplify right side
    19.55x = 859.68
  5. Step 5: Solve for x
    x = 859.68/19.55
  6. Step 6: Final answer
    x = 43.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.