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Finding the Third Proportional to 17.81 and 30.29

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Solution

The third proportional to 17.81 and 30.29 is: 51.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.81 : 30.29 = 30.29 : x
  2. Step 2: Convert to fraction form
    17.81/30.29 = 30.29/x
  3. Step 3: Cross multiply
    17.81x = 30.29 × 30.29
  4. Step 4: Simplify right side
    17.81x = 917.21
  5. Step 5: Solve for x
    x = 917.21/17.81
  6. Step 6: Final answer
    x = 51.49

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.