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Finding the Third Proportional to 18.23 and 39.84

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Solution

The third proportional to 18.23 and 39.84 is: 87.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.23 : 39.84 = 39.84 : x
  2. Step 2: Convert to fraction form
    18.23/39.84 = 39.84/x
  3. Step 3: Cross multiply
    18.23x = 39.84 × 39.84
  4. Step 4: Simplify right side
    18.23x = 1,587.52
  5. Step 5: Solve for x
    x = 1,587.52/18.23
  6. Step 6: Final answer
    x = 87.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.