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Finding the Third Proportional to 20,694 and 46,072

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Solution

The third proportional to 20,694 and 46,072 is: 102,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694 : 46,072 = 46,072 : x
  2. Step 2: Convert to fraction form
    20,694/46,072 = 46,072/x
  3. Step 3: Cross multiply
    20,694x = 46,072 × 46,072
  4. Step 4: Simplify right side
    20,694x = 2,122,629,184
  5. Step 5: Solve for x
    x = 2,122,629,184/20,694
  6. Step 6: Final answer
    x = 102,572.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.