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Finding the Third Proportional to 13,153.88 and 20,122.31

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Solution

The third proportional to 13,153.88 and 20,122.31 is: 30,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.88 : 20,122.31 = 20,122.31 : x
  2. Step 2: Convert to fraction form
    13,153.88/20,122.31 = 20,122.31/x
  3. Step 3: Cross multiply
    13,153.88x = 20,122.31 × 20,122.31
  4. Step 4: Simplify right side
    13,153.88x = 404,907,460.35
  5. Step 5: Solve for x
    x = 404,907,460.35/13,153.88
  6. Step 6: Final answer
    x = 30,782.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.