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Finding the Third Proportional to 10.94 and 25.06

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Solution

The third proportional to 10.94 and 25.06 is: 57.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.94 : 25.06 = 25.06 : x
  2. Step 2: Convert to fraction form
    10.94/25.06 = 25.06/x
  3. Step 3: Cross multiply
    10.94x = 25.06 × 25.06
  4. Step 4: Simplify right side
    10.94x = 628.13
  5. Step 5: Solve for x
    x = 628.13/10.94
  6. Step 6: Final answer
    x = 57.43

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.