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Finding the Third Proportional to 19.56 and 42.48

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Solution

The third proportional to 19.56 and 42.48 is: 92.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.56 : 42.48 = 42.48 : x
  2. Step 2: Convert to fraction form
    19.56/42.48 = 42.48/x
  3. Step 3: Cross multiply
    19.56x = 42.48 × 42.48
  4. Step 4: Simplify right side
    19.56x = 1,804.59
  5. Step 5: Solve for x
    x = 1,804.59/19.56
  6. Step 6: Final answer
    x = 92.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.