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Finding the Third Proportional to 16.03 and 23.07

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Solution

The third proportional to 16.03 and 23.07 is: 33.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.03 : 23.07 = 23.07 : x
  2. Step 2: Convert to fraction form
    16.03/23.07 = 23.07/x
  3. Step 3: Cross multiply
    16.03x = 23.07 × 23.07
  4. Step 4: Simplify right side
    16.03x = 532.28
  5. Step 5: Solve for x
    x = 532.28/16.03
  6. Step 6: Final answer
    x = 33.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.