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Finding the Third Proportional to 41.34 and 90.28

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Solution

The third proportional to 41.34 and 90.28 is: 197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.34 : 90.28 = 90.28 : x
  2. Step 2: Convert to fraction form
    41.34/90.28 = 90.28/x
  3. Step 3: Cross multiply
    41.34x = 90.28 × 90.28
  4. Step 4: Simplify right side
    41.34x = 8,150.70
  5. Step 5: Solve for x
    x = 8,150.70/41.34
  6. Step 6: Final answer
    x = 197.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.