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Finding the Third Proportional to 23,911 and 51,075

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Solution

The third proportional to 23,911 and 51,075 is: 109,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,911 : 51,075 = 51,075 : x
  2. Step 2: Convert to fraction form
    23,911/51,075 = 51,075/x
  3. Step 3: Cross multiply
    23,911x = 51,075 × 51,075
  4. Step 4: Simplify right side
    23,911x = 2,608,655,625
  5. Step 5: Solve for x
    x = 2,608,655,625/23,911
  6. Step 6: Final answer
    x = 109,098.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.