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Finding the Third Proportional to 12,193.88 and 25,963.88

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Solution

The third proportional to 12,193.88 and 25,963.88 is: 55,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.88 : 25,963.88 = 25,963.88 : x
  2. Step 2: Convert to fraction form
    12,193.88/25,963.88 = 25,963.88/x
  3. Step 3: Cross multiply
    12,193.88x = 25,963.88 × 25,963.88
  4. Step 4: Simplify right side
    12,193.88x = 674,122,805.02
  5. Step 5: Solve for x
    x = 674,122,805.02/12,193.88
  6. Step 6: Final answer
    x = 55,283.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.