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Finding the Third Proportional to 4,037.75 and 8,659.50

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Solution

The third proportional to 4,037.75 and 8,659.50 is: 18,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037.75 : 8,659.50 = 8,659.50 : x
  2. Step 2: Convert to fraction form
    4,037.75/8,659.50 = 8,659.50/x
  3. Step 3: Cross multiply
    4,037.75x = 8,659.50 × 8,659.50
  4. Step 4: Simplify right side
    4,037.75x = 74,986,940.25
  5. Step 5: Solve for x
    x = 74,986,940.25/4,037.75
  6. Step 6: Final answer
    x = 18,571.47

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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.