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Finding the Third Proportional to 19.63 and 42.31

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Solution

The third proportional to 19.63 and 42.31 is: 91.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.63 : 42.31 = 42.31 : x
  2. Step 2: Convert to fraction form
    19.63/42.31 = 42.31/x
  3. Step 3: Cross multiply
    19.63x = 42.31 × 42.31
  4. Step 4: Simplify right side
    19.63x = 1,790.35
  5. Step 5: Solve for x
    x = 1,790.35/19.63
  6. Step 6: Final answer
    x = 91.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.