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Finding the Third Proportional to 4,209.75 and 7,936.88

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Solution

The third proportional to 4,209.75 and 7,936.88 is: 14,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.75 : 7,936.88 = 7,936.88 : x
  2. Step 2: Convert to fraction form
    4,209.75/7,936.88 = 7,936.88/x
  3. Step 3: Cross multiply
    4,209.75x = 7,936.88 × 7,936.88
  4. Step 4: Simplify right side
    4,209.75x = 62,993,984.77
  5. Step 5: Solve for x
    x = 62,993,984.77/4,209.75
  6. Step 6: Final answer
    x = 14,963.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.