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Finding the Third Proportional to 4,059.75 and 8,725.88

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Solution

The third proportional to 4,059.75 and 8,725.88 is: 18,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.75 : 8,725.88 = 8,725.88 : x
  2. Step 2: Convert to fraction form
    4,059.75/8,725.88 = 8,725.88/x
  3. Step 3: Cross multiply
    4,059.75x = 8,725.88 × 8,725.88
  4. Step 4: Simplify right side
    4,059.75x = 76,140,894.52
  5. Step 5: Solve for x
    x = 76,140,894.52/4,059.75
  6. Step 6: Final answer
    x = 18,755.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.