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Finding the Third Proportional to 30 and 33.63

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Solution

The third proportional to 30 and 33.63 is: 37.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 33.63 = 33.63 : x
  2. Step 2: Convert to fraction form
    30/33.63 = 33.63/x
  3. Step 3: Cross multiply
    30x = 33.63 × 33.63
  4. Step 4: Simplify right side
    30x = 1,130.64
  5. Step 5: Solve for x
    x = 1,130.64/30
  6. Step 6: Final answer
    x = 37.69

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.