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Finding the Third Proportional to 4,209.75 and 10,212.75

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Solution

The third proportional to 4,209.75 and 10,212.75 is: 24,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.75 : 10,212.75 = 10,212.75 : x
  2. Step 2: Convert to fraction form
    4,209.75/10,212.75 = 10,212.75/x
  3. Step 3: Cross multiply
    4,209.75x = 10,212.75 × 10,212.75
  4. Step 4: Simplify right side
    4,209.75x = 104,300,262.56
  5. Step 5: Solve for x
    x = 104,300,262.56/4,209.75
  6. Step 6: Final answer
    x = 24,775.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.