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Finding the Third Proportional to 34.94 and 88.38

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Solution

The third proportional to 34.94 and 88.38 is: 223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.94 : 88.38 = 88.38 : x
  2. Step 2: Convert to fraction form
    34.94/88.38 = 88.38/x
  3. Step 3: Cross multiply
    34.94x = 88.38 × 88.38
  4. Step 4: Simplify right side
    34.94x = 7,810.14
  5. Step 5: Solve for x
    x = 7,810.14/34.94
  6. Step 6: Final answer
    x = 223.55

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.