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Finding the Third Proportional to 35.77 and 84.63

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Solution

The third proportional to 35.77 and 84.63 is: 200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.77 : 84.63 = 84.63 : x
  2. Step 2: Convert to fraction form
    35.77/84.63 = 84.63/x
  3. Step 3: Cross multiply
    35.77x = 84.63 × 84.63
  4. Step 4: Simplify right side
    35.77x = 7,162.03
  5. Step 5: Solve for x
    x = 7,162.03/35.77
  6. Step 6: Final answer
    x = 200.20

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.