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Finding the Third Proportional to 23.63 and 30.19

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Solution

The third proportional to 23.63 and 30.19 is: 38.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.63 : 30.19 = 30.19 : x
  2. Step 2: Convert to fraction form
    23.63/30.19 = 30.19/x
  3. Step 3: Cross multiply
    23.63x = 30.19 × 30.19
  4. Step 4: Simplify right side
    23.63x = 911.29
  5. Step 5: Solve for x
    x = 911.29/23.63
  6. Step 6: Final answer
    x = 38.57

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.