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Finding the Third Proportional to 35.94 and 84.81

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Solution

The third proportional to 35.94 and 84.81 is: 200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.94 : 84.81 = 84.81 : x
  2. Step 2: Convert to fraction form
    35.94/84.81 = 84.81/x
  3. Step 3: Cross multiply
    35.94x = 84.81 × 84.81
  4. Step 4: Simplify right side
    35.94x = 7,193.16
  5. Step 5: Solve for x
    x = 7,193.16/35.94
  6. Step 6: Final answer
    x = 200.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.