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Finding the Third Proportional to 16.35 and 25.23

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Solution

The third proportional to 16.35 and 25.23 is: 38.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.35 : 25.23 = 25.23 : x
  2. Step 2: Convert to fraction form
    16.35/25.23 = 25.23/x
  3. Step 3: Cross multiply
    16.35x = 25.23 × 25.23
  4. Step 4: Simplify right side
    16.35x = 636.58
  5. Step 5: Solve for x
    x = 636.58/16.35
  6. Step 6: Final answer
    x = 38.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.