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Finding the Third Proportional to 35.53 and 82.08

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Solution

The third proportional to 35.53 and 82.08 is: 189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.53 : 82.08 = 82.08 : x
  2. Step 2: Convert to fraction form
    35.53/82.08 = 82.08/x
  3. Step 3: Cross multiply
    35.53x = 82.08 × 82.08
  4. Step 4: Simplify right side
    35.53x = 6,736.82
  5. Step 5: Solve for x
    x = 6,736.82/35.53
  6. Step 6: Final answer
    x = 189.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.