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Finding the Third Proportional to 24,099.19 and 50,380.31

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Solution

The third proportional to 24,099.19 and 50,380.31 is: 105,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,099.19 : 50,380.31 = 50,380.31 : x
  2. Step 2: Convert to fraction form
    24,099.19/50,380.31 = 50,380.31/x
  3. Step 3: Cross multiply
    24,099.19x = 50,380.31 × 50,380.31
  4. Step 4: Simplify right side
    24,099.19x = 2,538,175,887.60
  5. Step 5: Solve for x
    x = 2,538,175,887.60/24,099.19
  6. Step 6: Final answer
    x = 105,322.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.