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Finding the Third Proportional to 18.94 and 32.69

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Solution

The third proportional to 18.94 and 32.69 is: 56.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.94 : 32.69 = 32.69 : x
  2. Step 2: Convert to fraction form
    18.94/32.69 = 32.69/x
  3. Step 3: Cross multiply
    18.94x = 32.69 × 32.69
  4. Step 4: Simplify right side
    18.94x = 1,068.47
  5. Step 5: Solve for x
    x = 1,068.47/18.94
  6. Step 6: Final answer
    x = 56.42

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.