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Finding the Third Proportional to 24,419.25 and 52,571.25

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Solution

The third proportional to 24,419.25 and 52,571.25 is: 113,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.25 : 52,571.25 = 52,571.25 : x
  2. Step 2: Convert to fraction form
    24,419.25/52,571.25 = 52,571.25/x
  3. Step 3: Cross multiply
    24,419.25x = 52,571.25 × 52,571.25
  4. Step 4: Simplify right side
    24,419.25x = 2,763,736,326.56
  5. Step 5: Solve for x
    x = 2,763,736,326.56/24,419.25
  6. Step 6: Final answer
    x = 113,178.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.