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Finding the Third Proportional to 20,122 and 47,579

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Solution

The third proportional to 20,122 and 47,579 is: 112,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122 : 47,579 = 47,579 : x
  2. Step 2: Convert to fraction form
    20,122/47,579 = 47,579/x
  3. Step 3: Cross multiply
    20,122x = 47,579 × 47,579
  4. Step 4: Simplify right side
    20,122x = 2,263,761,241
  5. Step 5: Solve for x
    x = 2,263,761,241/20,122
  6. Step 6: Final answer
    x = 112,501.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.