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Finding the Third Proportional to 42.38 and 88.44

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Solution

The third proportional to 42.38 and 88.44 is: 184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.38 : 88.44 = 88.44 : x
  2. Step 2: Convert to fraction form
    42.38/88.44 = 88.44/x
  3. Step 3: Cross multiply
    42.38x = 88.44 × 88.44
  4. Step 4: Simplify right side
    42.38x = 7,821.19
  5. Step 5: Solve for x
    x = 7,821.19/42.38
  6. Step 6: Final answer
    x = 184.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.