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Finding the Third Proportional to 41.63 and 65.25

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Solution

The third proportional to 41.63 and 65.25 is: 102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.63 : 65.25 = 65.25 : x
  2. Step 2: Convert to fraction form
    41.63/65.25 = 65.25/x
  3. Step 3: Cross multiply
    41.63x = 65.25 × 65.25
  4. Step 4: Simplify right side
    41.63x = 4,257.56
  5. Step 5: Solve for x
    x = 4,257.56/41.63
  6. Step 6: Final answer
    x = 102.28

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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.