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Finding the Third Proportional to 22,010 and 51,941

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Solution

The third proportional to 22,010 and 51,941 is: 122,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,010 : 51,941 = 51,941 : x
  2. Step 2: Convert to fraction form
    22,010/51,941 = 51,941/x
  3. Step 3: Cross multiply
    22,010x = 51,941 × 51,941
  4. Step 4: Simplify right side
    22,010x = 2,697,867,481
  5. Step 5: Solve for x
    x = 2,697,867,481/22,010
  6. Step 6: Final answer
    x = 122,574.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.