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Finding the Third Proportional to 20,095 and 42,026

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Solution

The third proportional to 20,095 and 42,026 is: 87,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095 : 42,026 = 42,026 : x
  2. Step 2: Convert to fraction form
    20,095/42,026 = 42,026/x
  3. Step 3: Cross multiply
    20,095x = 42,026 × 42,026
  4. Step 4: Simplify right side
    20,095x = 1,766,184,676
  5. Step 5: Solve for x
    x = 1,766,184,676/20,095
  6. Step 6: Final answer
    x = 87,891.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.