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Finding the Third Proportional to 14,009.04 and 30,231.98

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Solution

The third proportional to 14,009.04 and 30,231.98 is: 65,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.04 : 30,231.98 = 30,231.98 : x
  2. Step 2: Convert to fraction form
    14,009.04/30,231.98 = 30,231.98/x
  3. Step 3: Cross multiply
    14,009.04x = 30,231.98 × 30,231.98
  4. Step 4: Simplify right side
    14,009.04x = 913,972,879.25
  5. Step 5: Solve for x
    x = 913,972,879.25/14,009.04
  6. Step 6: Final answer
    x = 65,241.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.