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Finding the Third Proportional to 20,023 and 46,775

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Solution

The third proportional to 20,023 and 46,775 is: 109,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023 : 46,775 = 46,775 : x
  2. Step 2: Convert to fraction form
    20,023/46,775 = 46,775/x
  3. Step 3: Cross multiply
    20,023x = 46,775 × 46,775
  4. Step 4: Simplify right side
    20,023x = 2,187,900,625
  5. Step 5: Solve for x
    x = 2,187,900,625/20,023
  6. Step 6: Final answer
    x = 109,269.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.