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Finding the Third Proportional to 16,004.25 and 22,379.63

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Solution

The third proportional to 16,004.25 and 22,379.63 is: 31,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.25 : 22,379.63 = 22,379.63 : x
  2. Step 2: Convert to fraction form
    16,004.25/22,379.63 = 22,379.63/x
  3. Step 3: Cross multiply
    16,004.25x = 22,379.63 × 22,379.63
  4. Step 4: Simplify right side
    16,004.25x = 500,847,615.14
  5. Step 5: Solve for x
    x = 500,847,615.14/16,004.25
  6. Step 6: Final answer
    x = 31,294.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.