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Finding the Third Proportional to 3,907.08 and 9,217.36

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Solution

The third proportional to 3,907.08 and 9,217.36 is: 21,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.08 : 9,217.36 = 9,217.36 : x
  2. Step 2: Convert to fraction form
    3,907.08/9,217.36 = 9,217.36/x
  3. Step 3: Cross multiply
    3,907.08x = 9,217.36 × 9,217.36
  4. Step 4: Simplify right side
    3,907.08x = 84,959,713.85
  5. Step 5: Solve for x
    x = 84,959,713.85/3,907.08
  6. Step 6: Final answer
    x = 21,745.08

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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.