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Finding the Third Proportional to 12,131.86 and 16,335.42

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Solution

The third proportional to 12,131.86 and 16,335.42 is: 21,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.86 : 16,335.42 = 16,335.42 : x
  2. Step 2: Convert to fraction form
    12,131.86/16,335.42 = 16,335.42/x
  3. Step 3: Cross multiply
    12,131.86x = 16,335.42 × 16,335.42
  4. Step 4: Simplify right side
    12,131.86x = 266,846,007.83
  5. Step 5: Solve for x
    x = 266,846,007.83/12,131.86
  6. Step 6: Final answer
    x = 21,995.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.