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Finding the Third Proportional to 34,198.93 and 54,633.71

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Solution

The third proportional to 34,198.93 and 54,633.71 is: 87,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,198.93 : 54,633.71 = 54,633.71 : x
  2. Step 2: Convert to fraction form
    34,198.93/54,633.71 = 54,633.71/x
  3. Step 3: Cross multiply
    34,198.93x = 54,633.71 × 54,633.71
  4. Step 4: Simplify right side
    34,198.93x = 2,984,842,157.39
  5. Step 5: Solve for x
    x = 2,984,842,157.39/34,198.93
  6. Step 6: Final answer
    x = 87,278.82

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.