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Finding the Third Proportional to 5,616 and 11,959.31

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Solution

The third proportional to 5,616 and 11,959.31 is: 25,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616 : 11,959.31 = 11,959.31 : x
  2. Step 2: Convert to fraction form
    5,616/11,959.31 = 11,959.31/x
  3. Step 3: Cross multiply
    5,616x = 11,959.31 × 11,959.31
  4. Step 4: Simplify right side
    5,616x = 143,025,155.47
  5. Step 5: Solve for x
    x = 143,025,155.47/5,616
  6. Step 6: Final answer
    x = 25,467.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.