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Finding the Third Proportional to 23,721.25 and 51,338.50

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Solution

The third proportional to 23,721.25 and 51,338.50 is: 111,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,721.25 : 51,338.50 = 51,338.50 : x
  2. Step 2: Convert to fraction form
    23,721.25/51,338.50 = 51,338.50/x
  3. Step 3: Cross multiply
    23,721.25x = 51,338.50 × 51,338.50
  4. Step 4: Simplify right side
    23,721.25x = 2,635,641,582.25
  5. Step 5: Solve for x
    x = 2,635,641,582.25/23,721.25
  6. Step 6: Final answer
    x = 111,108.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.