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Finding the Third Proportional to 4.12 and 5.68

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Solution

The third proportional to 4.12 and 5.68 is: 7.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.12 : 5.68 = 5.68 : x
  2. Step 2: Convert to fraction form
    4.12/5.68 = 5.68/x
  3. Step 3: Cross multiply
    4.12x = 5.68 × 5.68
  4. Step 4: Simplify right side
    4.12x = 32.31
  5. Step 5: Solve for x
    x = 32.31/4.12
  6. Step 6: Final answer
    x = 7.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.