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Finding the Third Proportional to 10,768 and 23,234

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Solution

The third proportional to 10,768 and 23,234 is: 50,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768 : 23,234 = 23,234 : x
  2. Step 2: Convert to fraction form
    10,768/23,234 = 23,234/x
  3. Step 3: Cross multiply
    10,768x = 23,234 × 23,234
  4. Step 4: Simplify right side
    10,768x = 539,818,756
  5. Step 5: Solve for x
    x = 539,818,756/10,768
  6. Step 6: Final answer
    x = 50,131.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.