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Finding the Third Proportional to 30.12 and 41.70

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Solution

The third proportional to 30.12 and 41.70 is: 57.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.12 : 41.70 = 41.70 : x
  2. Step 2: Convert to fraction form
    30.12/41.70 = 41.70/x
  3. Step 3: Cross multiply
    30.12x = 41.70 × 41.70
  4. Step 4: Simplify right side
    30.12x = 1,738.86
  5. Step 5: Solve for x
    x = 1,738.86/30.12
  6. Step 6: Final answer
    x = 57.74

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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.