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Finding the Third Proportional to 46,986.33 and 72,704.94

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Solution

The third proportional to 46,986.33 and 72,704.94 is: 112,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,986.33 : 72,704.94 = 72,704.94 : x
  2. Step 2: Convert to fraction form
    46,986.33/72,704.94 = 72,704.94/x
  3. Step 3: Cross multiply
    46,986.33x = 72,704.94 × 72,704.94
  4. Step 4: Simplify right side
    46,986.33x = 5,286,007,652.88
  5. Step 5: Solve for x
    x = 5,286,007,652.88/46,986.33
  6. Step 6: Final answer
    x = 112,500.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.