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Finding the Third Proportional to 11,878.88 and 25,512.63

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Solution

The third proportional to 11,878.88 and 25,512.63 is: 54,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.88 : 25,512.63 = 25,512.63 : x
  2. Step 2: Convert to fraction form
    11,878.88/25,512.63 = 25,512.63/x
  3. Step 3: Cross multiply
    11,878.88x = 25,512.63 × 25,512.63
  4. Step 4: Simplify right side
    11,878.88x = 650,894,034.39
  5. Step 5: Solve for x
    x = 650,894,034.39/11,878.88
  6. Step 6: Final answer
    x = 54,794.25

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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.