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Finding the Third Proportional to 20,855 and 46,373

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Solution

The third proportional to 20,855 and 46,373 is: 103,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855 : 46,373 = 46,373 : x
  2. Step 2: Convert to fraction form
    20,855/46,373 = 46,373/x
  3. Step 3: Cross multiply
    20,855x = 46,373 × 46,373
  4. Step 4: Simplify right side
    20,855x = 2,150,455,129
  5. Step 5: Solve for x
    x = 2,150,455,129/20,855
  6. Step 6: Final answer
    x = 103,114.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.