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Finding the Third Proportional to 20,930 and 46,072

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Solution

The third proportional to 20,930 and 46,072 is: 101,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930 : 46,072 = 46,072 : x
  2. Step 2: Convert to fraction form
    20,930/46,072 = 46,072/x
  3. Step 3: Cross multiply
    20,930x = 46,072 × 46,072
  4. Step 4: Simplify right side
    20,930x = 2,122,629,184
  5. Step 5: Solve for x
    x = 2,122,629,184/20,930
  6. Step 6: Final answer
    x = 101,415.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.