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Finding the Third Proportional to 30.76 and 43.42

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Solution

The third proportional to 30.76 and 43.42 is: 61.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.76 : 43.42 = 43.42 : x
  2. Step 2: Convert to fraction form
    30.76/43.42 = 43.42/x
  3. Step 3: Cross multiply
    30.76x = 43.42 × 43.42
  4. Step 4: Simplify right side
    30.76x = 1,885.12
  5. Step 5: Solve for x
    x = 1,885.12/30.76
  6. Step 6: Final answer
    x = 61.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.