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Finding the Third Proportional to 11,625.50 and 25,463

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Solution

The third proportional to 11,625.50 and 25,463 is: 55,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.50 : 25,463 = 25,463 : x
  2. Step 2: Convert to fraction form
    11,625.50/25,463 = 25,463/x
  3. Step 3: Cross multiply
    11,625.50x = 25,463 × 25,463
  4. Step 4: Simplify right side
    11,625.50x = 648,364,369
  5. Step 5: Solve for x
    x = 648,364,369/11,625.50
  6. Step 6: Final answer
    x = 55,770.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.