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Finding the Third Proportional to 4.69 and 9.76

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Solution

The third proportional to 4.69 and 9.76 is: 20.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.69 : 9.76 = 9.76 : x
  2. Step 2: Convert to fraction form
    4.69/9.76 = 9.76/x
  3. Step 3: Cross multiply
    4.69x = 9.76 × 9.76
  4. Step 4: Simplify right side
    4.69x = 95.34
  5. Step 5: Solve for x
    x = 95.34/4.69
  6. Step 6: Final answer
    x = 20.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.