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Finding the Third Proportional to 10.97 and 16.03

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Solution

The third proportional to 10.97 and 16.03 is: 23.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.97 : 16.03 = 16.03 : x
  2. Step 2: Convert to fraction form
    10.97/16.03 = 16.03/x
  3. Step 3: Cross multiply
    10.97x = 16.03 × 16.03
  4. Step 4: Simplify right side
    10.97x = 257.00
  5. Step 5: Solve for x
    x = 257.00/10.97
  6. Step 6: Final answer
    x = 23.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.