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Finding the Third Proportional to 10.97 and 25.24

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Solution

The third proportional to 10.97 and 25.24 is: 58.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.97 : 25.24 = 25.24 : x
  2. Step 2: Convert to fraction form
    10.97/25.24 = 25.24/x
  3. Step 3: Cross multiply
    10.97x = 25.24 × 25.24
  4. Step 4: Simplify right side
    10.97x = 636.85
  5. Step 5: Solve for x
    x = 636.85/10.97
  6. Step 6: Final answer
    x = 58.04

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.