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Finding the Third Proportional to 11,711 and 25,075

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Solution

The third proportional to 11,711 and 25,075 is: 53,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711 : 25,075 = 25,075 : x
  2. Step 2: Convert to fraction form
    11,711/25,075 = 25,075/x
  3. Step 3: Cross multiply
    11,711x = 25,075 × 25,075
  4. Step 4: Simplify right side
    11,711x = 628,755,625
  5. Step 5: Solve for x
    x = 628,755,625/11,711
  6. Step 6: Final answer
    x = 53,689.32

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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.