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Finding the Third Proportional to 23,752.50 and 50,419.88

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Solution

The third proportional to 23,752.50 and 50,419.88 is: 107,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.50 : 50,419.88 = 50,419.88 : x
  2. Step 2: Convert to fraction form
    23,752.50/50,419.88 = 50,419.88/x
  3. Step 3: Cross multiply
    23,752.50x = 50,419.88 × 50,419.88
  4. Step 4: Simplify right side
    23,752.50x = 2,542,163,795.02
  5. Step 5: Solve for x
    x = 2,542,163,795.02/23,752.50
  6. Step 6: Final answer
    x = 107,027.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.