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Finding the Third Proportional to 10.97 and 23.53

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Solution

The third proportional to 10.97 and 23.53 is: 50.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.97 : 23.53 = 23.53 : x
  2. Step 2: Convert to fraction form
    10.97/23.53 = 23.53/x
  3. Step 3: Cross multiply
    10.97x = 23.53 × 23.53
  4. Step 4: Simplify right side
    10.97x = 553.72
  5. Step 5: Solve for x
    x = 553.72/10.97
  6. Step 6: Final answer
    x = 50.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.