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Finding the Third Proportional to 15,559 and 20,962

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Solution

The third proportional to 15,559 and 20,962 is: 28,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,559 : 20,962 = 20,962 : x
  2. Step 2: Convert to fraction form
    15,559/20,962 = 20,962/x
  3. Step 3: Cross multiply
    15,559x = 20,962 × 20,962
  4. Step 4: Simplify right side
    15,559x = 439,405,444
  5. Step 5: Solve for x
    x = 439,405,444/15,559
  6. Step 6: Final answer
    x = 28,241.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.