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Finding the Third Proportional to 23,810.94 and 50,902.31

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Solution

The third proportional to 23,810.94 and 50,902.31 is: 108,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.94 : 50,902.31 = 50,902.31 : x
  2. Step 2: Convert to fraction form
    23,810.94/50,902.31 = 50,902.31/x
  3. Step 3: Cross multiply
    23,810.94x = 50,902.31 × 50,902.31
  4. Step 4: Simplify right side
    23,810.94x = 2,591,045,417.85
  5. Step 5: Solve for x
    x = 2,591,045,417.85/23,810.94
  6. Step 6: Final answer
    x = 108,817.45

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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.