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Finding the Third Proportional to 20,109 and 30,595

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Solution

The third proportional to 20,109 and 30,595 is: 46,549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109 : 30,595 = 30,595 : x
  2. Step 2: Convert to fraction form
    20,109/30,595 = 30,595/x
  3. Step 3: Cross multiply
    20,109x = 30,595 × 30,595
  4. Step 4: Simplify right side
    20,109x = 936,054,025
  5. Step 5: Solve for x
    x = 936,054,025/20,109
  6. Step 6: Final answer
    x = 46,549.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.