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Finding the Third Proportional to 42 and 65.25

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Solution

The third proportional to 42 and 65.25 is: 101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 65.25 = 65.25 : x
  2. Step 2: Convert to fraction form
    42/65.25 = 65.25/x
  3. Step 3: Cross multiply
    42x = 65.25 × 65.25
  4. Step 4: Simplify right side
    42x = 4,257.56
  5. Step 5: Solve for x
    x = 4,257.56/42
  6. Step 6: Final answer
    x = 101.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.