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Finding the Third Proportional to 23,276.25 and 50,242.50

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Solution

The third proportional to 23,276.25 and 50,242.50 is: 108,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,276.25 : 50,242.50 = 50,242.50 : x
  2. Step 2: Convert to fraction form
    23,276.25/50,242.50 = 50,242.50/x
  3. Step 3: Cross multiply
    23,276.25x = 50,242.50 × 50,242.50
  4. Step 4: Simplify right side
    23,276.25x = 2,524,308,806.25
  5. Step 5: Solve for x
    x = 2,524,308,806.25/23,276.25
  6. Step 6: Final answer
    x = 108,449.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.