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Finding the Third Proportional to 23.64 and 49.43

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Solution

The third proportional to 23.64 and 49.43 is: 103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.64 : 49.43 = 49.43 : x
  2. Step 2: Convert to fraction form
    23.64/49.43 = 49.43/x
  3. Step 3: Cross multiply
    23.64x = 49.43 × 49.43
  4. Step 4: Simplify right side
    23.64x = 2,443.29
  5. Step 5: Solve for x
    x = 2,443.29/23.64
  6. Step 6: Final answer
    x = 103.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.