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Finding the Third Proportional to 23,561 and 51,211

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Solution

The third proportional to 23,561 and 51,211 is: 111,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561 : 51,211 = 51,211 : x
  2. Step 2: Convert to fraction form
    23,561/51,211 = 51,211/x
  3. Step 3: Cross multiply
    23,561x = 51,211 × 51,211
  4. Step 4: Simplify right side
    23,561x = 2,622,566,521
  5. Step 5: Solve for x
    x = 2,622,566,521/23,561
  6. Step 6: Final answer
    x = 111,309.64

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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.