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Finding the Third Proportional to 17.02 and 24.96

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Solution

The third proportional to 17.02 and 24.96 is: 36.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.02 : 24.96 = 24.96 : x
  2. Step 2: Convert to fraction form
    17.02/24.96 = 24.96/x
  3. Step 3: Cross multiply
    17.02x = 24.96 × 24.96
  4. Step 4: Simplify right side
    17.02x = 623.05
  5. Step 5: Solve for x
    x = 623.05/17.02
  6. Step 6: Final answer
    x = 36.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.