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Finding the Third Proportional to 35.63 and 54.19

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Solution

The third proportional to 35.63 and 54.19 is: 82.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.63 : 54.19 = 54.19 : x
  2. Step 2: Convert to fraction form
    35.63/54.19 = 54.19/x
  3. Step 3: Cross multiply
    35.63x = 54.19 × 54.19
  4. Step 4: Simplify right side
    35.63x = 2,936.29
  5. Step 5: Solve for x
    x = 2,936.29/35.63
  6. Step 6: Final answer
    x = 82.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.