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Finding the Third Proportional to 18.14 and 39.55

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Solution

The third proportional to 18.14 and 39.55 is: 86.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.14 : 39.55 = 39.55 : x
  2. Step 2: Convert to fraction form
    18.14/39.55 = 39.55/x
  3. Step 3: Cross multiply
    18.14x = 39.55 × 39.55
  4. Step 4: Simplify right side
    18.14x = 1,564.26
  5. Step 5: Solve for x
    x = 1,564.26/18.14
  6. Step 6: Final answer
    x = 86.23

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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.