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Finding the Third Proportional to 23.58 and 51.44

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Solution

The third proportional to 23.58 and 51.44 is: 112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.58 : 51.44 = 51.44 : x
  2. Step 2: Convert to fraction form
    23.58/51.44 = 51.44/x
  3. Step 3: Cross multiply
    23.58x = 51.44 × 51.44
  4. Step 4: Simplify right side
    23.58x = 2,645.64
  5. Step 5: Solve for x
    x = 2,645.64/23.58
  6. Step 6: Final answer
    x = 112.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.