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Finding the Third Proportional to 20,216 and 46,711

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Solution

The third proportional to 20,216 and 46,711 is: 107,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216 : 46,711 = 46,711 : x
  2. Step 2: Convert to fraction form
    20,216/46,711 = 46,711/x
  3. Step 3: Cross multiply
    20,216x = 46,711 × 46,711
  4. Step 4: Simplify right side
    20,216x = 2,181,917,521
  5. Step 5: Solve for x
    x = 2,181,917,521/20,216
  6. Step 6: Final answer
    x = 107,930.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.