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Finding the Third Proportional to 18.04 and 24.21

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Solution

The third proportional to 18.04 and 24.21 is: 32.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.04 : 24.21 = 24.21 : x
  2. Step 2: Convert to fraction form
    18.04/24.21 = 24.21/x
  3. Step 3: Cross multiply
    18.04x = 24.21 × 24.21
  4. Step 4: Simplify right side
    18.04x = 585.89
  5. Step 5: Solve for x
    x = 585.89/18.04
  6. Step 6: Final answer
    x = 32.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.