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Finding the Third Proportional to 10.65 and 22.68

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Solution

The third proportional to 10.65 and 22.68 is: 48.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.65 : 22.68 = 22.68 : x
  2. Step 2: Convert to fraction form
    10.65/22.68 = 22.68/x
  3. Step 3: Cross multiply
    10.65x = 22.68 × 22.68
  4. Step 4: Simplify right side
    10.65x = 514.44
  5. Step 5: Solve for x
    x = 514.44/10.65
  6. Step 6: Final answer
    x = 48.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.