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Finding the Third Proportional to 23,530.50 and 51,738.75

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Solution

The third proportional to 23,530.50 and 51,738.75 is: 113,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.50 : 51,738.75 = 51,738.75 : x
  2. Step 2: Convert to fraction form
    23,530.50/51,738.75 = 51,738.75/x
  3. Step 3: Cross multiply
    23,530.50x = 51,738.75 × 51,738.75
  4. Step 4: Simplify right side
    23,530.50x = 2,676,898,251.56
  5. Step 5: Solve for x
    x = 2,676,898,251.56/23,530.50
  6. Step 6: Final answer
    x = 113,762.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.