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Finding the Third Proportional to 23,835.94 and 51,769.13

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Solution

The third proportional to 23,835.94 and 51,769.13 is: 112,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.94 : 51,769.13 = 51,769.13 : x
  2. Step 2: Convert to fraction form
    23,835.94/51,769.13 = 51,769.13/x
  3. Step 3: Cross multiply
    23,835.94x = 51,769.13 × 51,769.13
  4. Step 4: Simplify right side
    23,835.94x = 2,680,042,303.27
  5. Step 5: Solve for x
    x = 2,680,042,303.27/23,835.94
  6. Step 6: Final answer
    x = 112,437.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.