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Finding the Third Proportional to 30.69 and 56.95

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Solution

The third proportional to 30.69 and 56.95 is: 105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.69 : 56.95 = 56.95 : x
  2. Step 2: Convert to fraction form
    30.69/56.95 = 56.95/x
  3. Step 3: Cross multiply
    30.69x = 56.95 × 56.95
  4. Step 4: Simplify right side
    30.69x = 3,243.66
  5. Step 5: Solve for x
    x = 3,243.66/30.69
  6. Step 6: Final answer
    x = 105.69

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.