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Finding the Third Proportional to 13,441 and 20,625

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Solution

The third proportional to 13,441 and 20,625 is: 31,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441 : 20,625 = 20,625 : x
  2. Step 2: Convert to fraction form
    13,441/20,625 = 20,625/x
  3. Step 3: Cross multiply
    13,441x = 20,625 × 20,625
  4. Step 4: Simplify right side
    13,441x = 425,390,625
  5. Step 5: Solve for x
    x = 425,390,625/13,441
  6. Step 6: Final answer
    x = 31,648.73

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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.