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Finding the Third Proportional to 25,516 and 54,075

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Solution

The third proportional to 25,516 and 54,075 is: 114,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516 : 54,075 = 54,075 : x
  2. Step 2: Convert to fraction form
    25,516/54,075 = 54,075/x
  3. Step 3: Cross multiply
    25,516x = 54,075 × 54,075
  4. Step 4: Simplify right side
    25,516x = 2,924,105,625
  5. Step 5: Solve for x
    x = 2,924,105,625/25,516
  6. Step 6: Final answer
    x = 114,598.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.