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Finding the Third Proportional to 10.68 and 23.02

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Solution

The third proportional to 10.68 and 23.02 is: 49.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.68 : 23.02 = 23.02 : x
  2. Step 2: Convert to fraction form
    10.68/23.02 = 23.02/x
  3. Step 3: Cross multiply
    10.68x = 23.02 × 23.02
  4. Step 4: Simplify right side
    10.68x = 529.85
  5. Step 5: Solve for x
    x = 529.85/10.68
  6. Step 6: Final answer
    x = 49.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.