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Finding the Third Proportional to 5.63 and 9.63

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Solution

The third proportional to 5.63 and 9.63 is: 16.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.63 : 9.63 = 9.63 : x
  2. Step 2: Convert to fraction form
    5.63/9.63 = 9.63/x
  3. Step 3: Cross multiply
    5.63x = 9.63 × 9.63
  4. Step 4: Simplify right side
    5.63x = 92.64
  5. Step 5: Solve for x
    x = 92.64/5.63
  6. Step 6: Final answer
    x = 16.47

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.