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Finding the Third Proportional to 11,516 and 20,663

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Solution

The third proportional to 11,516 and 20,663 is: 37,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516 : 20,663 = 20,663 : x
  2. Step 2: Convert to fraction form
    11,516/20,663 = 20,663/x
  3. Step 3: Cross multiply
    11,516x = 20,663 × 20,663
  4. Step 4: Simplify right side
    11,516x = 426,959,569
  5. Step 5: Solve for x
    x = 426,959,569/11,516
  6. Step 6: Final answer
    x = 37,075.34

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.