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Finding the Third Proportional to 10,729.69 and 23,306.34

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Solution

The third proportional to 10,729.69 and 23,306.34 is: 50,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.69 : 23,306.34 = 23,306.34 : x
  2. Step 2: Convert to fraction form
    10,729.69/23,306.34 = 23,306.34/x
  3. Step 3: Cross multiply
    10,729.69x = 23,306.34 × 23,306.34
  4. Step 4: Simplify right side
    10,729.69x = 543,185,658.99
  5. Step 5: Solve for x
    x = 543,185,658.99/10,729.69
  6. Step 6: Final answer
    x = 50,624.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.