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Finding the Third Proportional to 10.23 and 13.08

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Solution

The third proportional to 10.23 and 13.08 is: 16.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.23 : 13.08 = 13.08 : x
  2. Step 2: Convert to fraction form
    10.23/13.08 = 13.08/x
  3. Step 3: Cross multiply
    10.23x = 13.08 × 13.08
  4. Step 4: Simplify right side
    10.23x = 171.04
  5. Step 5: Solve for x
    x = 171.04/10.23
  6. Step 6: Final answer
    x = 16.72

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.