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Finding the Third Proportional to 34.75 and 84.06

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Solution

The third proportional to 34.75 and 84.06 is: 203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.75 : 84.06 = 84.06 : x
  2. Step 2: Convert to fraction form
    34.75/84.06 = 84.06/x
  3. Step 3: Cross multiply
    34.75x = 84.06 × 84.06
  4. Step 4: Simplify right side
    34.75x = 7,066.50
  5. Step 5: Solve for x
    x = 7,066.50/34.75
  6. Step 6: Final answer
    x = 203.35

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.