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Finding the Third Proportional to 34.50 and 75.19

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Solution

The third proportional to 34.50 and 75.19 is: 163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.50 : 75.19 = 75.19 : x
  2. Step 2: Convert to fraction form
    34.50/75.19 = 75.19/x
  3. Step 3: Cross multiply
    34.50x = 75.19 × 75.19
  4. Step 4: Simplify right side
    34.50x = 5,653.16
  5. Step 5: Solve for x
    x = 5,653.16/34.50
  6. Step 6: Final answer
    x = 163.86

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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.