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Finding the Third Proportional to 17.06 and 24.94

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Solution

The third proportional to 17.06 and 24.94 is: 36.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.06 : 24.94 = 24.94 : x
  2. Step 2: Convert to fraction form
    17.06/24.94 = 24.94/x
  3. Step 3: Cross multiply
    17.06x = 24.94 × 24.94
  4. Step 4: Simplify right side
    17.06x = 621.88
  5. Step 5: Solve for x
    x = 621.88/17.06
  6. Step 6: Final answer
    x = 36.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.