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Finding the Third Proportional to 20,132 and 40,533

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Solution

The third proportional to 20,132 and 40,533 is: 81,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132 : 40,533 = 40,533 : x
  2. Step 2: Convert to fraction form
    20,132/40,533 = 40,533/x
  3. Step 3: Cross multiply
    20,132x = 40,533 × 40,533
  4. Step 4: Simplify right side
    20,132x = 1,642,924,089
  5. Step 5: Solve for x
    x = 1,642,924,089/20,132
  6. Step 6: Final answer
    x = 81,607.59

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.