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Finding the Third Proportional to 4,205.04 and 9,106.80

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Solution

The third proportional to 4,205.04 and 9,106.80 is: 19,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.04 : 9,106.80 = 9,106.80 : x
  2. Step 2: Convert to fraction form
    4,205.04/9,106.80 = 9,106.80/x
  3. Step 3: Cross multiply
    4,205.04x = 9,106.80 × 9,106.80
  4. Step 4: Simplify right side
    4,205.04x = 82,933,891.62
  5. Step 5: Solve for x
    x = 82,933,891.62/4,205.04
  6. Step 6: Final answer
    x = 19,722.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.