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Finding the Third Proportional to 8.41 and 12.30

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Solution

The third proportional to 8.41 and 12.30 is: 18.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.41 : 12.30 = 12.30 : x
  2. Step 2: Convert to fraction form
    8.41/12.30 = 12.30/x
  3. Step 3: Cross multiply
    8.41x = 12.30 × 12.30
  4. Step 4: Simplify right side
    8.41x = 151.38
  5. Step 5: Solve for x
    x = 151.38/8.41
  6. Step 6: Final answer
    x = 18.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.