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Finding the Third Proportional to 23,561 and 51,277

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Solution

The third proportional to 23,561 and 51,277 is: 111,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561 : 51,277 = 51,277 : x
  2. Step 2: Convert to fraction form
    23,561/51,277 = 51,277/x
  3. Step 3: Cross multiply
    23,561x = 51,277 × 51,277
  4. Step 4: Simplify right side
    23,561x = 2,629,330,729
  5. Step 5: Solve for x
    x = 2,629,330,729/23,561
  6. Step 6: Final answer
    x = 111,596.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.