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Finding the Third Proportional to 14,198.41 and 31,010.98

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Solution

The third proportional to 14,198.41 and 31,010.98 is: 67,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.41 : 31,010.98 = 31,010.98 : x
  2. Step 2: Convert to fraction form
    14,198.41/31,010.98 = 31,010.98/x
  3. Step 3: Cross multiply
    14,198.41x = 31,010.98 × 31,010.98
  4. Step 4: Simplify right side
    14,198.41x = 961,680,667.36
  5. Step 5: Solve for x
    x = 961,680,667.36/14,198.41
  6. Step 6: Final answer
    x = 67,731.56

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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.