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Finding the Third Proportional to 30.31 and 61.56

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Solution

The third proportional to 30.31 and 61.56 is: 125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.31 : 61.56 = 61.56 : x
  2. Step 2: Convert to fraction form
    30.31/61.56 = 61.56/x
  3. Step 3: Cross multiply
    30.31x = 61.56 × 61.56
  4. Step 4: Simplify right side
    30.31x = 3,789.94
  5. Step 5: Solve for x
    x = 3,789.94/30.31
  6. Step 6: Final answer
    x = 125.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.