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Finding the Third Proportional to 4.63 and 7.25

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Solution

The third proportional to 4.63 and 7.25 is: 11.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.63 : 7.25 = 7.25 : x
  2. Step 2: Convert to fraction form
    4.63/7.25 = 7.25/x
  3. Step 3: Cross multiply
    4.63x = 7.25 × 7.25
  4. Step 4: Simplify right side
    4.63x = 52.56
  5. Step 5: Solve for x
    x = 52.56/4.63
  6. Step 6: Final answer
    x = 11.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.