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Finding the Third Proportional to 24,727.78 and 51,208.03

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Solution

The third proportional to 24,727.78 and 51,208.03 is: 106,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727.78 : 51,208.03 = 51,208.03 : x
  2. Step 2: Convert to fraction form
    24,727.78/51,208.03 = 51,208.03/x
  3. Step 3: Cross multiply
    24,727.78x = 51,208.03 × 51,208.03
  4. Step 4: Simplify right side
    24,727.78x = 2,622,262,464.50
  5. Step 5: Solve for x
    x = 2,622,262,464.50/24,727.78
  6. Step 6: Final answer
    x = 106,045.20

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.