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Finding the Third Proportional to 4,733.44 and 10,011.09

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Solution

The third proportional to 4,733.44 and 10,011.09 is: 21,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.44 : 10,011.09 = 10,011.09 : x
  2. Step 2: Convert to fraction form
    4,733.44/10,011.09 = 10,011.09/x
  3. Step 3: Cross multiply
    4,733.44x = 10,011.09 × 10,011.09
  4. Step 4: Simplify right side
    4,733.44x = 100,221,998.07
  5. Step 5: Solve for x
    x = 100,221,998.07/4,733.44
  6. Step 6: Final answer
    x = 21,173.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.