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Finding the Third Proportional to 23,822.07 and 51,757.58

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Solution

The third proportional to 23,822.07 and 51,757.58 is: 112,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.07 : 51,757.58 = 51,757.58 : x
  2. Step 2: Convert to fraction form
    23,822.07/51,757.58 = 51,757.58/x
  3. Step 3: Cross multiply
    23,822.07x = 51,757.58 × 51,757.58
  4. Step 4: Simplify right side
    23,822.07x = 2,678,846,691.19
  5. Step 5: Solve for x
    x = 2,678,846,691.19/23,822.07
  6. Step 6: Final answer
    x = 112,452.31

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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.