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Finding the Third Proportional to 20,052 and 40,590.75

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Solution

The third proportional to 20,052 and 40,590.75 is: 82,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052 : 40,590.75 = 40,590.75 : x
  2. Step 2: Convert to fraction form
    20,052/40,590.75 = 40,590.75/x
  3. Step 3: Cross multiply
    20,052x = 40,590.75 × 40,590.75
  4. Step 4: Simplify right side
    20,052x = 1,647,608,985.56
  5. Step 5: Solve for x
    x = 1,647,608,985.56/20,052
  6. Step 6: Final answer
    x = 82,166.82

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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.