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Finding the Third Proportional to 42.40 and 100.30

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Solution

The third proportional to 42.40 and 100.30 is: 237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.40 : 100.30 = 100.30 : x
  2. Step 2: Convert to fraction form
    42.40/100.30 = 100.30/x
  3. Step 3: Cross multiply
    42.40x = 100.30 × 100.30
  4. Step 4: Simplify right side
    42.40x = 10,060.25
  5. Step 5: Solve for x
    x = 10,060.25/42.40
  6. Step 6: Final answer
    x = 237.28

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.