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Finding the Third Proportional to 4.57 and 9.68

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Solution

The third proportional to 4.57 and 9.68 is: 20.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.57 : 9.68 = 9.68 : x
  2. Step 2: Convert to fraction form
    4.57/9.68 = 9.68/x
  3. Step 3: Cross multiply
    4.57x = 9.68 × 9.68
  4. Step 4: Simplify right side
    4.57x = 93.65
  5. Step 5: Solve for x
    x = 93.65/4.57
  6. Step 6: Final answer
    x = 20.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.