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Finding the Third Proportional to 4,775.63 and 10,067.63

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Solution

The third proportional to 4,775.63 and 10,067.63 is: 21,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.63 : 10,067.63 = 10,067.63 : x
  2. Step 2: Convert to fraction form
    4,775.63/10,067.63 = 10,067.63/x
  3. Step 3: Cross multiply
    4,775.63x = 10,067.63 × 10,067.63
  4. Step 4: Simplify right side
    4,775.63x = 101,357,073.14
  5. Step 5: Solve for x
    x = 101,357,073.14/4,775.63
  6. Step 6: Final answer
    x = 21,223.83

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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.