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Finding the Third Proportional to 20,172 and 46,302

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Solution

The third proportional to 20,172 and 46,302 is: 106,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172 : 46,302 = 46,302 : x
  2. Step 2: Convert to fraction form
    20,172/46,302 = 46,302/x
  3. Step 3: Cross multiply
    20,172x = 46,302 × 46,302
  4. Step 4: Simplify right side
    20,172x = 2,143,875,204
  5. Step 5: Solve for x
    x = 2,143,875,204/20,172
  6. Step 6: Final answer
    x = 106,279.75

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.