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Finding the Third Proportional to 20,185 and 46,906

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Solution

The third proportional to 20,185 and 46,906 is: 109,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185 : 46,906 = 46,906 : x
  2. Step 2: Convert to fraction form
    20,185/46,906 = 46,906/x
  3. Step 3: Cross multiply
    20,185x = 46,906 × 46,906
  4. Step 4: Simplify right side
    20,185x = 2,200,172,836
  5. Step 5: Solve for x
    x = 2,200,172,836/20,185
  6. Step 6: Final answer
    x = 109,000.39

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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.