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Finding the Third Proportional to 16.45 and 23.10

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Solution

The third proportional to 16.45 and 23.10 is: 32.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 23.10 = 23.10 : x
  2. Step 2: Convert to fraction form
    16.45/23.10 = 23.10/x
  3. Step 3: Cross multiply
    16.45x = 23.10 × 23.10
  4. Step 4: Simplify right side
    16.45x = 533.50
  5. Step 5: Solve for x
    x = 533.50/16.45
  6. Step 6: Final answer
    x = 32.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.