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Finding the Third Proportional to 23,977.27 and 51,102.14

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Solution

The third proportional to 23,977.27 and 51,102.14 is: 108,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,977.27 : 51,102.14 = 51,102.14 : x
  2. Step 2: Convert to fraction form
    23,977.27/51,102.14 = 51,102.14/x
  3. Step 3: Cross multiply
    23,977.27x = 51,102.14 × 51,102.14
  4. Step 4: Simplify right side
    23,977.27x = 2,611,428,776.46
  5. Step 5: Solve for x
    x = 2,611,428,776.46/23,977.27
  6. Step 6: Final answer
    x = 108,912.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.