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Finding the Third Proportional to 20,042 and 46,399

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Solution

The third proportional to 20,042 and 46,399 is: 107,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042 : 46,399 = 46,399 : x
  2. Step 2: Convert to fraction form
    20,042/46,399 = 46,399/x
  3. Step 3: Cross multiply
    20,042x = 46,399 × 46,399
  4. Step 4: Simplify right side
    20,042x = 2,152,867,201
  5. Step 5: Solve for x
    x = 2,152,867,201/20,042
  6. Step 6: Final answer
    x = 107,417.78

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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.