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Finding the Third Proportional to 49.22 and 73.55

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Solution

The third proportional to 49.22 and 73.55 is: 109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.22 : 73.55 = 73.55 : x
  2. Step 2: Convert to fraction form
    49.22/73.55 = 73.55/x
  3. Step 3: Cross multiply
    49.22x = 73.55 × 73.55
  4. Step 4: Simplify right side
    49.22x = 5,409.14
  5. Step 5: Solve for x
    x = 5,409.14/49.22
  6. Step 6: Final answer
    x = 109.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.