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Finding the Third Proportional to 4,609.41 and 10,209.80

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Solution

The third proportional to 4,609.41 and 10,209.80 is: 22,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.41 : 10,209.80 = 10,209.80 : x
  2. Step 2: Convert to fraction form
    4,609.41/10,209.80 = 10,209.80/x
  3. Step 3: Cross multiply
    4,609.41x = 10,209.80 × 10,209.80
  4. Step 4: Simplify right side
    4,609.41x = 104,239,952.23
  5. Step 5: Solve for x
    x = 104,239,952.23/4,609.41
  6. Step 6: Final answer
    x = 22,614.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.