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Finding the Third Proportional to 24,740.25 and 51,910.88

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Solution

The third proportional to 24,740.25 and 51,910.88 is: 108,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740.25 : 51,910.88 = 51,910.88 : x
  2. Step 2: Convert to fraction form
    24,740.25/51,910.88 = 51,910.88/x
  3. Step 3: Cross multiply
    24,740.25x = 51,910.88 × 51,910.88
  4. Step 4: Simplify right side
    24,740.25x = 2,694,738,943.27
  5. Step 5: Solve for x
    x = 2,694,738,943.27/24,740.25
  6. Step 6: Final answer
    x = 108,921.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.