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Finding the Third Proportional to 4.10 and 9.63

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Solution

The third proportional to 4.10 and 9.63 is: 22.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.10 : 9.63 = 9.63 : x
  2. Step 2: Convert to fraction form
    4.10/9.63 = 9.63/x
  3. Step 3: Cross multiply
    4.10x = 9.63 × 9.63
  4. Step 4: Simplify right side
    4.10x = 92.75
  5. Step 5: Solve for x
    x = 92.75/4.10
  6. Step 6: Final answer
    x = 22.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.