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Finding the Third Proportional to 14,874.75 and 32,198.63

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Solution

The third proportional to 14,874.75 and 32,198.63 is: 69,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.75 : 32,198.63 = 32,198.63 : x
  2. Step 2: Convert to fraction form
    14,874.75/32,198.63 = 32,198.63/x
  3. Step 3: Cross multiply
    14,874.75x = 32,198.63 × 32,198.63
  4. Step 4: Simplify right side
    14,874.75x = 1,036,751,451.89
  5. Step 5: Solve for x
    x = 1,036,751,451.89/14,874.75
  6. Step 6: Final answer
    x = 69,698.75

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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.