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Finding the Third Proportional to 20,278 and 41,039

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Solution

The third proportional to 20,278 and 41,039 is: 83,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278 : 41,039 = 41,039 : x
  2. Step 2: Convert to fraction form
    20,278/41,039 = 41,039/x
  3. Step 3: Cross multiply
    20,278x = 41,039 × 41,039
  4. Step 4: Simplify right side
    20,278x = 1,684,199,521
  5. Step 5: Solve for x
    x = 1,684,199,521/20,278
  6. Step 6: Final answer
    x = 83,055.50

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.