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Finding the Third Proportional to 25,464 and 27,408

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Solution

The third proportional to 25,464 and 27,408 is: 29,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464 : 27,408 = 27,408 : x
  2. Step 2: Convert to fraction form
    25,464/27,408 = 27,408/x
  3. Step 3: Cross multiply
    25,464x = 27,408 × 27,408
  4. Step 4: Simplify right side
    25,464x = 751,198,464
  5. Step 5: Solve for x
    x = 751,198,464/25,464
  6. Step 6: Final answer
    x = 29,500.41

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.