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Finding the Third Proportional to 20,603 and 32,777

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Solution

The third proportional to 20,603 and 32,777 is: 52,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,603 : 32,777 = 32,777 : x
  2. Step 2: Convert to fraction form
    20,603/32,777 = 32,777/x
  3. Step 3: Cross multiply
    20,603x = 32,777 × 32,777
  4. Step 4: Simplify right side
    20,603x = 1,074,331,729
  5. Step 5: Solve for x
    x = 1,074,331,729/20,603
  6. Step 6: Final answer
    x = 52,144.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.