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Finding the Third Proportional to 20,119 and 46,775

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Solution

The third proportional to 20,119 and 46,775 is: 108,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119 : 46,775 = 46,775 : x
  2. Step 2: Convert to fraction form
    20,119/46,775 = 46,775/x
  3. Step 3: Cross multiply
    20,119x = 46,775 × 46,775
  4. Step 4: Simplify right side
    20,119x = 2,187,900,625
  5. Step 5: Solve for x
    x = 2,187,900,625/20,119
  6. Step 6: Final answer
    x = 108,747.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.