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Finding the Third Proportional to 18.50 and 29.94

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Solution

The third proportional to 18.50 and 29.94 is: 48.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.50 : 29.94 = 29.94 : x
  2. Step 2: Convert to fraction form
    18.50/29.94 = 29.94/x
  3. Step 3: Cross multiply
    18.50x = 29.94 × 29.94
  4. Step 4: Simplify right side
    18.50x = 896.25
  5. Step 5: Solve for x
    x = 896.25/18.50
  6. Step 6: Final answer
    x = 48.45

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.