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Finding the Third Proportional to 42.84 and 88.97

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Solution

The third proportional to 42.84 and 88.97 is: 184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.84 : 88.97 = 88.97 : x
  2. Step 2: Convert to fraction form
    42.84/88.97 = 88.97/x
  3. Step 3: Cross multiply
    42.84x = 88.97 × 88.97
  4. Step 4: Simplify right side
    42.84x = 7,915.44
  5. Step 5: Solve for x
    x = 7,915.44/42.84
  6. Step 6: Final answer
    x = 184.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.