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Finding the Third Proportional to 24,003.84 and 52,860.09

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Solution

The third proportional to 24,003.84 and 52,860.09 is: 116,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,003.84 : 52,860.09 = 52,860.09 : x
  2. Step 2: Convert to fraction form
    24,003.84/52,860.09 = 52,860.09/x
  3. Step 3: Cross multiply
    24,003.84x = 52,860.09 × 52,860.09
  4. Step 4: Simplify right side
    24,003.84x = 2,794,189,511.26
  5. Step 5: Solve for x
    x = 2,794,189,511.26/24,003.84
  6. Step 6: Final answer
    x = 116,405.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.