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Finding the Third Proportional to 18,051.29 and 41,689.69

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Solution

The third proportional to 18,051.29 and 41,689.69 is: 96,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,051.29 : 41,689.69 = 41,689.69 : x
  2. Step 2: Convert to fraction form
    18,051.29/41,689.69 = 41,689.69/x
  3. Step 3: Cross multiply
    18,051.29x = 41,689.69 × 41,689.69
  4. Step 4: Simplify right side
    18,051.29x = 1,738,030,043.85
  5. Step 5: Solve for x
    x = 1,738,030,043.85/18,051.29
  6. Step 6: Final answer
    x = 96,282.86

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.