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Finding the Third Proportional to 11,884.19 and 25,455.47

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Solution

The third proportional to 11,884.19 and 25,455.47 is: 54,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.19 : 25,455.47 = 25,455.47 : x
  2. Step 2: Convert to fraction form
    11,884.19/25,455.47 = 25,455.47/x
  3. Step 3: Cross multiply
    11,884.19x = 25,455.47 × 25,455.47
  4. Step 4: Simplify right side
    11,884.19x = 647,980,889.28
  5. Step 5: Solve for x
    x = 647,980,889.28/11,884.19
  6. Step 6: Final answer
    x = 54,524.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.