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Finding the Third Proportional to 9,495.98 and 14,190.82

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Solution

The third proportional to 9,495.98 and 14,190.82 is: 21,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.98 : 14,190.82 = 14,190.82 : x
  2. Step 2: Convert to fraction form
    9,495.98/14,190.82 = 14,190.82/x
  3. Step 3: Cross multiply
    9,495.98x = 14,190.82 × 14,190.82
  4. Step 4: Simplify right side
    9,495.98x = 201,379,381.14
  5. Step 5: Solve for x
    x = 201,379,381.14/9,495.98
  6. Step 6: Final answer
    x = 21,206.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.