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Finding the Third Proportional to 14,051.25 and 30,690.75

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Solution

The third proportional to 14,051.25 and 30,690.75 is: 67,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.25 : 30,690.75 = 30,690.75 : x
  2. Step 2: Convert to fraction form
    14,051.25/30,690.75 = 30,690.75/x
  3. Step 3: Cross multiply
    14,051.25x = 30,690.75 × 30,690.75
  4. Step 4: Simplify right side
    14,051.25x = 941,922,135.56
  5. Step 5: Solve for x
    x = 941,922,135.56/14,051.25
  6. Step 6: Final answer
    x = 67,034.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.