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Finding the Third Proportional to 4.13 and 8.63

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Solution

The third proportional to 4.13 and 8.63 is: 18.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.13 : 8.63 = 8.63 : x
  2. Step 2: Convert to fraction form
    4.13/8.63 = 8.63/x
  3. Step 3: Cross multiply
    4.13x = 8.63 × 8.63
  4. Step 4: Simplify right side
    4.13x = 74.39
  5. Step 5: Solve for x
    x = 74.39/4.13
  6. Step 6: Final answer
    x = 18.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.