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Finding the Third Proportional to 20,035 and 46,380

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Solution

The third proportional to 20,035 and 46,380 is: 107,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035 : 46,380 = 46,380 : x
  2. Step 2: Convert to fraction form
    20,035/46,380 = 46,380/x
  3. Step 3: Cross multiply
    20,035x = 46,380 × 46,380
  4. Step 4: Simplify right side
    20,035x = 2,151,104,400
  5. Step 5: Solve for x
    x = 2,151,104,400/20,035
  6. Step 6: Final answer
    x = 107,367.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.