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Finding the Third Proportional to 25,522 and 54,081

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Solution

The third proportional to 25,522 and 54,081 is: 114,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,522 : 54,081 = 54,081 : x
  2. Step 2: Convert to fraction form
    25,522/54,081 = 54,081/x
  3. Step 3: Cross multiply
    25,522x = 54,081 × 54,081
  4. Step 4: Simplify right side
    25,522x = 2,924,754,561
  5. Step 5: Solve for x
    x = 2,924,754,561/25,522
  6. Step 6: Final answer
    x = 114,597.39

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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.