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Finding the Third Proportional to 20,733 and 48,732

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Solution

The third proportional to 20,733 and 48,732 is: 114,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,733 : 48,732 = 48,732 : x
  2. Step 2: Convert to fraction form
    20,733/48,732 = 48,732/x
  3. Step 3: Cross multiply
    20,733x = 48,732 × 48,732
  4. Step 4: Simplify right side
    20,733x = 2,374,807,824
  5. Step 5: Solve for x
    x = 2,374,807,824/20,733
  6. Step 6: Final answer
    x = 114,542.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.