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Finding the Third Proportional to 25,446.50 and 54,661

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Solution

The third proportional to 25,446.50 and 54,661 is: 117,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,446.50 : 54,661 = 54,661 : x
  2. Step 2: Convert to fraction form
    25,446.50/54,661 = 54,661/x
  3. Step 3: Cross multiply
    25,446.50x = 54,661 × 54,661
  4. Step 4: Simplify right side
    25,446.50x = 2,987,824,921
  5. Step 5: Solve for x
    x = 2,987,824,921/25,446.50
  6. Step 6: Final answer
    x = 117,415.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.