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Finding the Third Proportional to 34,014.94 and 72,950.63

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Solution

The third proportional to 34,014.94 and 72,950.63 is: 156,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,014.94 : 72,950.63 = 72,950.63 : x
  2. Step 2: Convert to fraction form
    34,014.94/72,950.63 = 72,950.63/x
  3. Step 3: Cross multiply
    34,014.94x = 72,950.63 × 72,950.63
  4. Step 4: Simplify right side
    34,014.94x = 5,321,793,687.89
  5. Step 5: Solve for x
    x = 5,321,793,687.89/34,014.94
  6. Step 6: Final answer
    x = 156,454.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.