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Finding the Third Proportional to 21.94 and 43.16

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Solution

The third proportional to 21.94 and 43.16 is: 84.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.94 : 43.16 = 43.16 : x
  2. Step 2: Convert to fraction form
    21.94/43.16 = 43.16/x
  3. Step 3: Cross multiply
    21.94x = 43.16 × 43.16
  4. Step 4: Simplify right side
    21.94x = 1,862.51
  5. Step 5: Solve for x
    x = 1,862.51/21.94
  6. Step 6: Final answer
    x = 84.88

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.