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Finding the Third Proportional to 42.09 and 63.49

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Solution

The third proportional to 42.09 and 63.49 is: 95.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.09 : 63.49 = 63.49 : x
  2. Step 2: Convert to fraction form
    42.09/63.49 = 63.49/x
  3. Step 3: Cross multiply
    42.09x = 63.49 × 63.49
  4. Step 4: Simplify right side
    42.09x = 4,031.33
  5. Step 5: Solve for x
    x = 4,031.33/42.09
  6. Step 6: Final answer
    x = 95.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.