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Finding the Third Proportional to 20,234 and 30,051

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Solution

The third proportional to 20,234 and 30,051 is: 44,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234 : 30,051 = 30,051 : x
  2. Step 2: Convert to fraction form
    20,234/30,051 = 30,051/x
  3. Step 3: Cross multiply
    20,234x = 30,051 × 30,051
  4. Step 4: Simplify right side
    20,234x = 903,062,601
  5. Step 5: Solve for x
    x = 903,062,601/20,234
  6. Step 6: Final answer
    x = 44,630.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.