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Finding the Third Proportional to 23,790.75 and 35,628.75

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Solution

The third proportional to 23,790.75 and 35,628.75 is: 53,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,790.75 : 35,628.75 = 35,628.75 : x
  2. Step 2: Convert to fraction form
    23,790.75/35,628.75 = 35,628.75/x
  3. Step 3: Cross multiply
    23,790.75x = 35,628.75 × 35,628.75
  4. Step 4: Simplify right side
    23,790.75x = 1,269,407,826.56
  5. Step 5: Solve for x
    x = 1,269,407,826.56/23,790.75
  6. Step 6: Final answer
    x = 53,357.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.