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Finding the Third Proportional to 34,414.88 and 72,965.81

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Solution

The third proportional to 34,414.88 and 72,965.81 is: 154,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.88 : 72,965.81 = 72,965.81 : x
  2. Step 2: Convert to fraction form
    34,414.88/72,965.81 = 72,965.81/x
  3. Step 3: Cross multiply
    34,414.88x = 72,965.81 × 72,965.81
  4. Step 4: Simplify right side
    34,414.88x = 5,324,009,793.79
  5. Step 5: Solve for x
    x = 5,324,009,793.79/34,414.88
  6. Step 6: Final answer
    x = 154,700.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.