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Finding the Third Proportional to 14,212.13 and 31,249.13

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Solution

The third proportional to 14,212.13 and 31,249.13 is: 68,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.13 : 31,249.13 = 31,249.13 : x
  2. Step 2: Convert to fraction form
    14,212.13/31,249.13 = 31,249.13/x
  3. Step 3: Cross multiply
    14,212.13x = 31,249.13 × 31,249.13
  4. Step 4: Simplify right side
    14,212.13x = 976,507,813.27
  5. Step 5: Solve for x
    x = 976,507,813.27/14,212.13
  6. Step 6: Final answer
    x = 68,709.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.