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Finding the Third Proportional to 4.76 and 6.76

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Solution

The third proportional to 4.76 and 6.76 is: 9.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.76 : 6.76 = 6.76 : x
  2. Step 2: Convert to fraction form
    4.76/6.76 = 6.76/x
  3. Step 3: Cross multiply
    4.76x = 6.76 × 6.76
  4. Step 4: Simplify right side
    4.76x = 45.75
  5. Step 5: Solve for x
    x = 45.75/4.76
  6. Step 6: Final answer
    x = 9.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.