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Finding the Third Proportional to 14,433.75 and 31,016.81

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Solution

The third proportional to 14,433.75 and 31,016.81 is: 66,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.75 : 31,016.81 = 31,016.81 : x
  2. Step 2: Convert to fraction form
    14,433.75/31,016.81 = 31,016.81/x
  3. Step 3: Cross multiply
    14,433.75x = 31,016.81 × 31,016.81
  4. Step 4: Simplify right side
    14,433.75x = 962,042,657.66
  5. Step 5: Solve for x
    x = 962,042,657.66/14,433.75
  6. Step 6: Final answer
    x = 66,652.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.