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Finding the Third Proportional to 4,074.75 and 9,619.88

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Solution

The third proportional to 4,074.75 and 9,619.88 is: 22,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.75 : 9,619.88 = 9,619.88 : x
  2. Step 2: Convert to fraction form
    4,074.75/9,619.88 = 9,619.88/x
  3. Step 3: Cross multiply
    4,074.75x = 9,619.88 × 9,619.88
  4. Step 4: Simplify right side
    4,074.75x = 92,541,995.02
  5. Step 5: Solve for x
    x = 92,541,995.02/4,074.75
  6. Step 6: Final answer
    x = 22,711.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.