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Finding the Third Proportional to 10,950 and 22,679

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Solution

The third proportional to 10,950 and 22,679 is: 46,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950 : 22,679 = 22,679 : x
  2. Step 2: Convert to fraction form
    10,950/22,679 = 22,679/x
  3. Step 3: Cross multiply
    10,950x = 22,679 × 22,679
  4. Step 4: Simplify right side
    10,950x = 514,337,041
  5. Step 5: Solve for x
    x = 514,337,041/10,950
  6. Step 6: Final answer
    x = 46,971.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.