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Finding the Third Proportional to 7.63 and 10.38

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Solution

The third proportional to 7.63 and 10.38 is: 14.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.63 : 10.38 = 10.38 : x
  2. Step 2: Convert to fraction form
    7.63/10.38 = 10.38/x
  3. Step 3: Cross multiply
    7.63x = 10.38 × 10.38
  4. Step 4: Simplify right side
    7.63x = 107.64
  5. Step 5: Solve for x
    x = 107.64/7.63
  6. Step 6: Final answer
    x = 14.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.