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Finding the Third Proportional to 10.68 and 23.49

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Solution

The third proportional to 10.68 and 23.49 is: 51.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.68 : 23.49 = 23.49 : x
  2. Step 2: Convert to fraction form
    10.68/23.49 = 23.49/x
  3. Step 3: Cross multiply
    10.68x = 23.49 × 23.49
  4. Step 4: Simplify right side
    10.68x = 551.93
  5. Step 5: Solve for x
    x = 551.93/10.68
  6. Step 6: Final answer
    x = 51.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.