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Finding the Third Proportional to 14,249.51 and 31,007.34

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Solution

The third proportional to 14,249.51 and 31,007.34 is: 67,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.51 : 31,007.34 = 31,007.34 : x
  2. Step 2: Convert to fraction form
    14,249.51/31,007.34 = 31,007.34/x
  3. Step 3: Cross multiply
    14,249.51x = 31,007.34 × 31,007.34
  4. Step 4: Simplify right side
    14,249.51x = 961,455,003.06
  5. Step 5: Solve for x
    x = 961,455,003.06/14,249.51
  6. Step 6: Final answer
    x = 67,472.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.