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Finding the Third Proportional to 30 and 73

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Solution

The third proportional to 30 and 73 is: 177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 73 = 73 : x
  2. Step 2: Convert to fraction form
    30/73 = 73/x
  3. Step 3: Cross multiply
    30x = 73 × 73
  4. Step 4: Simplify right side
    30x = 5,329
  5. Step 5: Solve for x
    x = 5,329/30
  6. Step 6: Final answer
    x = 177.63

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.