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Finding the Third Proportional to 21.94 and 30.28

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Solution

The third proportional to 21.94 and 30.28 is: 41.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.94 : 30.28 = 30.28 : x
  2. Step 2: Convert to fraction form
    21.94/30.28 = 30.28/x
  3. Step 3: Cross multiply
    21.94x = 30.28 × 30.28
  4. Step 4: Simplify right side
    21.94x = 916.95
  5. Step 5: Solve for x
    x = 916.95/21.94
  6. Step 6: Final answer
    x = 41.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.