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Finding the Third Proportional to 10.30 and 21.94

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Solution

The third proportional to 10.30 and 21.94 is: 46.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.30 : 21.94 = 21.94 : x
  2. Step 2: Convert to fraction form
    10.30/21.94 = 21.94/x
  3. Step 3: Cross multiply
    10.30x = 21.94 × 21.94
  4. Step 4: Simplify right side
    10.30x = 481.24
  5. Step 5: Solve for x
    x = 481.24/10.30
  6. Step 6: Final answer
    x = 46.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.