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Finding the Third Proportional to 42.33 and 101.91

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Solution

The third proportional to 42.33 and 101.91 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.33 : 101.91 = 101.91 : x
  2. Step 2: Convert to fraction form
    42.33/101.91 = 101.91/x
  3. Step 3: Cross multiply
    42.33x = 101.91 × 101.91
  4. Step 4: Simplify right side
    42.33x = 10,384.88
  5. Step 5: Solve for x
    x = 10,384.88/42.33
  6. Step 6: Final answer
    x = 245.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.