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Finding the Third Proportional to 34.44 and 75.02

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Solution

The third proportional to 34.44 and 75.02 is: 163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.44 : 75.02 = 75.02 : x
  2. Step 2: Convert to fraction form
    34.44/75.02 = 75.02/x
  3. Step 3: Cross multiply
    34.44x = 75.02 × 75.02
  4. Step 4: Simplify right side
    34.44x = 5,627.69
  5. Step 5: Solve for x
    x = 5,627.69/34.44
  6. Step 6: Final answer
    x = 163.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.