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Finding the Third Proportional to 21.19 and 44.94

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Solution

The third proportional to 21.19 and 44.94 is: 95.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.19 : 44.94 = 44.94 : x
  2. Step 2: Convert to fraction form
    21.19/44.94 = 44.94/x
  3. Step 3: Cross multiply
    21.19x = 44.94 × 44.94
  4. Step 4: Simplify right side
    21.19x = 2,019.38
  5. Step 5: Solve for x
    x = 2,019.38/21.19
  6. Step 6: Final answer
    x = 95.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.