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Finding the Third Proportional to 12,146.63 and 25,747.88

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Solution

The third proportional to 12,146.63 and 25,747.88 is: 54,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.63 : 25,747.88 = 25,747.88 : x
  2. Step 2: Convert to fraction form
    12,146.63/25,747.88 = 25,747.88/x
  3. Step 3: Cross multiply
    12,146.63x = 25,747.88 × 25,747.88
  4. Step 4: Simplify right side
    12,146.63x = 662,953,067.02
  5. Step 5: Solve for x
    x = 662,953,067.02/12,146.63
  6. Step 6: Final answer
    x = 54,579.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.