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Finding the Third Proportional to 42 and 57

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Solution

The third proportional to 42 and 57 is: 77.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 57 = 57 : x
  2. Step 2: Convert to fraction form
    42/57 = 57/x
  3. Step 3: Cross multiply
    42x = 57 × 57
  4. Step 4: Simplify right side
    42x = 3,249
  5. Step 5: Solve for x
    x = 3,249/42
  6. Step 6: Final answer
    x = 77.36

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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.