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Finding the Third Proportional to 19.31 and 42.47

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Solution

The third proportional to 19.31 and 42.47 is: 93.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.31 : 42.47 = 42.47 : x
  2. Step 2: Convert to fraction form
    19.31/42.47 = 42.47/x
  3. Step 3: Cross multiply
    19.31x = 42.47 × 42.47
  4. Step 4: Simplify right side
    19.31x = 1,803.59
  5. Step 5: Solve for x
    x = 1,803.59/19.31
  6. Step 6: Final answer
    x = 93.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.