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Finding the Third Proportional to 16.45 and 25.00

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Solution

The third proportional to 16.45 and 25.00 is: 37.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 25.00 = 25.00 : x
  2. Step 2: Convert to fraction form
    16.45/25.00 = 25.00/x
  3. Step 3: Cross multiply
    16.45x = 25.00 × 25.00
  4. Step 4: Simplify right side
    16.45x = 624.80
  5. Step 5: Solve for x
    x = 624.80/16.45
  6. Step 6: Final answer
    x = 37.97

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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.