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Finding the Third Proportional to 16.23 and 25.87

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Solution

The third proportional to 16.23 and 25.87 is: 41.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.23 : 25.87 = 25.87 : x
  2. Step 2: Convert to fraction form
    16.23/25.87 = 25.87/x
  3. Step 3: Cross multiply
    16.23x = 25.87 × 25.87
  4. Step 4: Simplify right side
    16.23x = 669.37
  5. Step 5: Solve for x
    x = 669.37/16.23
  6. Step 6: Final answer
    x = 41.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.