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Finding the Third Proportional to 34.48 and 75.54

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Solution

The third proportional to 34.48 and 75.54 is: 165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.48 : 75.54 = 75.54 : x
  2. Step 2: Convert to fraction form
    34.48/75.54 = 75.54/x
  3. Step 3: Cross multiply
    34.48x = 75.54 × 75.54
  4. Step 4: Simplify right side
    34.48x = 5,706.15
  5. Step 5: Solve for x
    x = 5,706.15/34.48
  6. Step 6: Final answer
    x = 165.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.