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Finding the Third Proportional to 35.51 and 83.60

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Solution

The third proportional to 35.51 and 83.60 is: 196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.51 : 83.60 = 83.60 : x
  2. Step 2: Convert to fraction form
    35.51/83.60 = 83.60/x
  3. Step 3: Cross multiply
    35.51x = 83.60 × 83.60
  4. Step 4: Simplify right side
    35.51x = 6,989.22
  5. Step 5: Solve for x
    x = 6,989.22/35.51
  6. Step 6: Final answer
    x = 196.84

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.