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Finding the Third Proportional to 7.69 and 16.58

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Solution

The third proportional to 7.69 and 16.58 is: 35.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.69 : 16.58 = 16.58 : x
  2. Step 2: Convert to fraction form
    7.69/16.58 = 16.58/x
  3. Step 3: Cross multiply
    7.69x = 16.58 × 16.58
  4. Step 4: Simplify right side
    7.69x = 274.96
  5. Step 5: Solve for x
    x = 274.96/7.69
  6. Step 6: Final answer
    x = 35.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.