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Finding the Third Proportional to 3.63 and 5.75

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Solution

The third proportional to 3.63 and 5.75 is: 9.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.63 : 5.75 = 5.75 : x
  2. Step 2: Convert to fraction form
    3.63/5.75 = 5.75/x
  3. Step 3: Cross multiply
    3.63x = 5.75 × 5.75
  4. Step 4: Simplify right side
    3.63x = 33.06
  5. Step 5: Solve for x
    x = 33.06/3.63
  6. Step 6: Final answer
    x = 9.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.