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Finding the Third Proportional to 19.47 and 42.37

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Solution

The third proportional to 19.47 and 42.37 is: 92.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.47 : 42.37 = 42.37 : x
  2. Step 2: Convert to fraction form
    19.47/42.37 = 42.37/x
  3. Step 3: Cross multiply
    19.47x = 42.37 × 42.37
  4. Step 4: Simplify right side
    19.47x = 1,795.11
  5. Step 5: Solve for x
    x = 1,795.11/19.47
  6. Step 6: Final answer
    x = 92.20

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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.