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Finding the Third Proportional to 6.63 and 14.63

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Solution

The third proportional to 6.63 and 14.63 is: 32.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.63 : 14.63 = 14.63 : x
  2. Step 2: Convert to fraction form
    6.63/14.63 = 14.63/x
  3. Step 3: Cross multiply
    6.63x = 14.63 × 14.63
  4. Step 4: Simplify right side
    6.63x = 213.89
  5. Step 5: Solve for x
    x = 213.89/6.63
  6. Step 6: Final answer
    x = 32.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.