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Finding the Third Proportional to 18.10 and 39.09

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Solution

The third proportional to 18.10 and 39.09 is: 84.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.10 : 39.09 = 39.09 : x
  2. Step 2: Convert to fraction form
    18.10/39.09 = 39.09/x
  3. Step 3: Cross multiply
    18.10x = 39.09 × 39.09
  4. Step 4: Simplify right side
    18.10x = 1,528.32
  5. Step 5: Solve for x
    x = 1,528.32/18.10
  6. Step 6: Final answer
    x = 84.43

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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.