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Finding the Third Proportional to 23,528.25 and 50,465.25

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Solution

The third proportional to 23,528.25 and 50,465.25 is: 108,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,528.25 : 50,465.25 = 50,465.25 : x
  2. Step 2: Convert to fraction form
    23,528.25/50,465.25 = 50,465.25/x
  3. Step 3: Cross multiply
    23,528.25x = 50,465.25 × 50,465.25
  4. Step 4: Simplify right side
    23,528.25x = 2,546,741,457.56
  5. Step 5: Solve for x
    x = 2,546,741,457.56/23,528.25
  6. Step 6: Final answer
    x = 108,241.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.