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Finding the Third Proportional to 12.33 and 16.10

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Solution

The third proportional to 12.33 and 16.10 is: 21.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.33 : 16.10 = 16.10 : x
  2. Step 2: Convert to fraction form
    12.33/16.10 = 16.10/x
  3. Step 3: Cross multiply
    12.33x = 16.10 × 16.10
  4. Step 4: Simplify right side
    12.33x = 259.12
  5. Step 5: Solve for x
    x = 259.12/12.33
  6. Step 6: Final answer
    x = 21.02

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.