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Finding the Third Proportional to 12,416.63 and 18,997.88

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Solution

The third proportional to 12,416.63 and 18,997.88 is: 29,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.63 : 18,997.88 = 18,997.88 : x
  2. Step 2: Convert to fraction form
    12,416.63/18,997.88 = 18,997.88/x
  3. Step 3: Cross multiply
    12,416.63x = 18,997.88 × 18,997.88
  4. Step 4: Simplify right side
    12,416.63x = 360,919,254.52
  5. Step 5: Solve for x
    x = 360,919,254.52/12,416.63
  6. Step 6: Final answer
    x = 29,067.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.