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Finding the Third Proportional to 17.16 and 25.86

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Solution

The third proportional to 17.16 and 25.86 is: 39.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.16 : 25.86 = 25.86 : x
  2. Step 2: Convert to fraction form
    17.16/25.86 = 25.86/x
  3. Step 3: Cross multiply
    17.16x = 25.86 × 25.86
  4. Step 4: Simplify right side
    17.16x = 668.98
  5. Step 5: Solve for x
    x = 668.98/17.16
  6. Step 6: Final answer
    x = 39.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.