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Finding the Third Proportional to 25,476 and 55,344

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Solution

The third proportional to 25,476 and 55,344 is: 120,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,476 : 55,344 = 55,344 : x
  2. Step 2: Convert to fraction form
    25,476/55,344 = 55,344/x
  3. Step 3: Cross multiply
    25,476x = 55,344 × 55,344
  4. Step 4: Simplify right side
    25,476x = 3,062,958,336
  5. Step 5: Solve for x
    x = 3,062,958,336/25,476
  6. Step 6: Final answer
    x = 120,229.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.