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Finding the Third Proportional to 12,062.44 and 24,709.88

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Solution

The third proportional to 12,062.44 and 24,709.88 is: 50,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,062.44 : 24,709.88 = 24,709.88 : x
  2. Step 2: Convert to fraction form
    12,062.44/24,709.88 = 24,709.88/x
  3. Step 3: Cross multiply
    12,062.44x = 24,709.88 × 24,709.88
  4. Step 4: Simplify right side
    12,062.44x = 610,577,922.52
  5. Step 5: Solve for x
    x = 610,577,922.52/12,062.44
  6. Step 6: Final answer
    x = 50,618.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.