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Finding the Third Proportional to 25,508 and 54,103.50

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Solution

The third proportional to 25,508 and 54,103.50 is: 114,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508 : 54,103.50 = 54,103.50 : x
  2. Step 2: Convert to fraction form
    25,508/54,103.50 = 54,103.50/x
  3. Step 3: Cross multiply
    25,508x = 54,103.50 × 54,103.50
  4. Step 4: Simplify right side
    25,508x = 2,927,188,712.25
  5. Step 5: Solve for x
    x = 2,927,188,712.25/25,508
  6. Step 6: Final answer
    x = 114,755.71

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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.